Answer:
A. $96.00, $38.40, $15.36
B. after 6 years
Step-by-step explanation:
An exponential function has the general form ...
y = (initial value) × (growth factor)^t
__
A.The growth factor is 1 more than the growth rate. Here, the "growth" is actually a decay at the rate of 60% per year, so the growth rate is -0.60. The initial value is $240. The value equation can be written ...
y = 240(1 -0.60)^t
We want the value after t=1, t=2, and t=3 years.
y = $240(0.4)^1 = $96 . . . value after 1 year
y = $240(0.4)^2 = $38.40 . . . value after 2 years
y = $240(0.4)^3 = $15.36 . . . value after 3 years
__
B.We want to find t when y < 1.
240(0.4)^t < 1
0.4^t < 1/240 . . . . . . . . . . . . divide by 240
t × log(0.4) < log(1/240) . . . take logs
t > log(1/240)/log(0.4) . . . . . . . inequality reverses because log(0.4) < 0
t > 5.98
The bike will be worth less than $1 after about 6 years.
_____
Additional comment
For part A, we have shown the values after 1, 2, and 3 years. The expressions are shown on the same line preceding the value.
After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4. 5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $50/100,000 $31. 75 Property Damage $25,000 $120. 50 Collision $500 deductible $275. 75 Comprehensive $100 deductible $100. 00 a. $504. 24 b. $523. 50 c. $528. 00 d. $551. 76.
Cindy's new annual premium including the discount would be given by: Option A: $504.24
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
The table given is:
Type of Insurance Coverage Coverage Limits Annual Premiums
Bodily Injury $50/100,000 $31. 75
Property Damage $25,000 $120. 50
Collision $500 deductible $275. 75
Comprehensive $100 deductible $100. 00
Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528
Discount offered to her = 4.5% of $528 = [tex]\dfrac{528}{100} \times 4.5 = 23.76[/tex] (in dollars)
The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24
Thus, Cindy's new annual premium including the discount would be given by: Option A: $504.24
Learn more about percent here:
https://brainly.com/question/11549320
Answer:
its a
Step-by-step explanation:
Convert 0.595 to a fraction in simplest form
0.595
= 595/1000
= 119/200
what is y=-2x+5 as standard form
Answer:
2x + y = 5
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - 2x + 5 ( add 2x to both sides )
2x + y = 5 ← in standard form
Answer:
y=-2x+5 as standard form is 2x+y=5
HELP GUYS ASAP THIS QUESTION IS DUE SOLVE
The diameter of a cylinder is 1 yd. The height is 12 ydof the cylinder? Find the volume of the cylinder.
Answer:
the volume should be 9.42
When solving, at what point do you know that your solutions are imaginary? Does x^2 +9 =0 have real or imaginary solutions? How do you know?
Answer:
Real solutions
Step-by-step explanation:
I know that because I am smart
Answer.. below: . . .
. . . . . ....
.
.
.
3/12 + 239/12 =
2309/23 + 32/32=
34/234 + 349/234=
23/23-11/23=
57/78-32/78 =
Answer:
3/12 + 239/12 = 20.16...
2309/23 + 32/32= 101.39
34/234 + 349/234=1.64
23/23-11/23= 0.52
57/78-32/78 = 0.32
Step-by-step explanation:
Just divide both sides first and then add, so it is easier to get your answer.
My answers are all rounded or repeated.
I hope this helps!
-No one
Answer/Step-by-step explanation:
3/12 + 239/12
3 + 239 = 242
242/12 = 20 1/6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Find common multiplier
2309/23 + 32/32
Add
2332/23
Mixed Fraction
101 9/23
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
34/234 + 349/234
23 + 349 = 383
383/234
Mixed Fraction
1 149/234
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
23/23-11/23
23 - 11 = 12
12/23
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
57/78 - 32/78
57 - 32 = 25
25/78
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~lenvy~
I need help please!!!!!!
Answer:
432 feet^2
Step-by-step explanation:
If we fill in the edges, it'll be 24x8, since 16+2 is 18, and 20+2(2) is 24. 24x18 is 432. Brainliest please.
Help me with this question!!
50 points + Brainliest
No spammers allowed
Thanks in advance.
No. 7.a
Answer:
∠BAC = 35°
AC = 5 cm
BD = 2.4 cm
Step-by-step explanation:
As ΔABC ~ ΔBDC then ∠CBD ≅ ∠BAC
As ∠CBD = 35° then ∠BAC = 35°
Using Pythagoras' Theorem
CB² + AB² = AC²
⇒ 3² + 4² = AC²
⇒ 25 = AC²
⇒ AC = 5 cm
As ΔABC ~ ΔBDC then
AB : AC = BD : BC
⇒ 4 : 5 = BD : 3
[tex]\sf \implies \dfrac45=\dfrac{BD}{3}[/tex]
[tex]\sf \implies BD=\dfrac{12}{5}=2.4\:cm[/tex]
**A right triangle with legs of 3cm and 4cm, and a perpendicular line from the hypotenuse to the right angle vertex, does not have an internal angle CBD of 35°. It should be 36.87°. So if you use SOHCAHTOA to find the length of BD, it will be incorrect. See attached diagram**
Answer:
35°, 5 units, 2.4 unitsStep-by-step explanation:
Given
ΔABC ~ ΔBDCCorresponding angles are congruent
∠BAC ≅ ∠DBC m∠BAC = m∠DBC = 35°Use Pythagorean to find the length of AC
[tex]AC = \sqrt{AB^2+BC^2} =\sqrt{3^2+4^2} =\sqrt{25} =5[/tex]The ratio of corresponding sides is equal
BD/AB = BC/ACBD/4 = 3/5BD = 4*3/5BD = 2.4The half-life of sr-85, which may be used in bone scans, is 64. 8 days. How many milligrams of a 7 mg sample will be left after 127 days? round to the hundredths place
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &7\\ t=\textit{elapsed time}\dotfill &127\\ h=\textit{half-life}\dotfill &64.8 \end{cases} \\\\\\ A=7\left( \frac{1}{2} \right)^{\frac{127}{64.8}}\implies A=7\left( \frac{1}{2} \right)^{\frac{635}{324}}\implies A\approx 1.80[/tex]
The half-life of sr-85, which may be used in bone scans, is 64.8 days. 1.80 milligrams of a 7 mg sample will be left after 127 days.
What is half-life?Half-life is defined as the time required for a quantity to reduce to half of its initial value.
The half-life of sr-85, which may be used in bone scans, is 64. 8 days.
We need to find how many milligrams of a 7 mg sample will be left after 127 days.
[tex]\rm A = P\frac{1}{2} ^{t/h}[/tex]
here A = current amount
P = inital amount
t = time
h = half life
So,
[tex]\rm A = 7\frac{1}{2} ^{127/64.8}[/tex]
[tex]\rm A = 7\frac{1}{2} ^{635/324}\\A = 1.80[/tex]
Learn more about half-life;
https://brainly.com/question/24710827
#SPJ4
HELP
Which decimal is greater than 1.89?
1.54
1.79
1.97
1.35
Answer:
1.97>1.89
Step-by-step explanation:
All of the other options are less than 1.89.
1.54 < 1.89
1.79 < 1.89
1.35 < 1.89
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Construct a specific 2x2 matrix a with no zero entries at all such that aat = i
A 2 x 2 matrix has 2 rows and 2 columns
A specific 2 x 2 matrix a with no zero entries at all is [tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]
How to construct the matrix?From the question, we understand that the matrix is a 2 x 2 matrix.
A 2 x 2 matrix is represented as:
[tex]\left[\begin{array}{cc}a&b\\c&d&\end{array}\right][/tex]
Also from the question we understand that the elements of the matrix are non-zero.
This means that:
[tex]a \ne 0\ , b \ne 0, \ c \ne 0, \ d \ne 0[/tex]
An example of such matrix is:
[tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]
Note that there are several matrices that fit the given construction requirement
Read more about matrix at:
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what will be the answer to 20 x 20
Answer:
400
Step-by-step explanation:
you can do 2x2 and you get 4 then add the zeros
If the simple interest on $5,000 for 4 years is $1,800, then what is the interest rate?
Answer:
9%
Step-by-step explanation:
I’m confused on what to do.
All you need to do is use your calculator to solve that equation. Just so you don't need to for just this one, here's the answer you should type into the box:
3/20
Kate and Isaac share 495 sweets.
Kate gets 20% more sweets than Isaac
How many sweets does Isaac get?
Answer:
I believe it is 149Step-by-step explanation:
The number of points scored by two basketball teams in each teams' latest
10
games are listed below. Compare and contrast the measures of central
tendency for the data sets.
Team one: {54, 47, 62, 59, 49, 51, 54, 60, 57, 53}
Team two: {63, 57, 49, 52, 61, 43, 51, 53, 56, 48}
Answer:
See below.
Step-by-step explanation:
Arranging the data in ascending order:
Team one: { 47, 49, 51, 53, 54, 54, 57, 59, 60, 62}
Team two: {43, 48, 49, 51, 52, 53, 56, 57, 61, 63}
The mean for team one = sum of the scores / 10 =
= 546/10 = 54.6.
The median for team 1 = 54.
The mean for team two = sum of the scores / 10 =
= 533/10 = 53.3.
The median for team 2 = 52.5.
Team 1 has a higher mean than team 2: 54.6 - 53.3 = 1.3 higher.
In both cases, the mean is greater than the median though the difference is < 1 in both cases. So in both cases the distribution of the scores is close to symmetrical, with team 1 being slightly more symmetrical.
Jesse is helping her grandmother plant a garden in the shape of a trapzoid
Base one is 12.5
base two 0.5 times length of base one
the height is 10 feet
Not an actual test question but just curious:
if an exponential function is flipped by the x axis then is that function still positive or negative.
EX:
well, when we use the word "the function" we're referring to the dependent part, which depends on the independent, y,x wise, we're referring to the function "y" or f(x) if you wish.
so for an exponential function
is the function ever positive only? it can be
is it negative only? it can be
can it be both? sure thing, most of the time it's both
we can say a function f(x) is always positive when the independent values of "x" yield a positive value only, mind you that when we're talking about "the function" we're really referring to the resulting values in a set, so can the values of the output no matter what "x" we use be always positive? sure, can they also be negative only? sure, how about both? sure thing.
notice the template in the picture below, we can transform any exponential function like the one above 2ˣ with some vertical shift upwards, and is always positive, or -2ˣ with a vertical shift downwards and it's always negative, or we can stretch it about and have -2ˣ shifted upwards so sometimes is positive, and sometimes is negative.
above the x-axis is always positive, below is negative, but with transformations on the parent function it can be any of the three types.
What is the maximum age of the youngest 25% of the passengers?
Using the percentile concept, it is found that the maximum age of the youngest 25% of the passengers is of 30.
What is the percentile concept?When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.
Researching the problem on the internet, it is found that the distribution of the ages is described by a box and whisker plot, which states that:
The 25th percentile is of 30.The median is of 45.The 75th percentile is of 60.Hence, the maximum age of the youngest 25% of the passengers is of 30.
More can be learned about the percentile concept at https://brainly.com/question/24495213
You are ordering sweatshirts for your baseball team. The bar graph shows how many of each size you will need. Which choice below is NOT true?
Answer:
- more people need extra large sweatshirts than large sweatshirts
Answer: C
Step-by-step explanation:
More people need extra large sweatshirts than large sweatshirts.
Find 3 irrational numbers between 1/3 and 3/8
Answer:
4/24,,,5/24,,7/24
hope it helps u
i need help with the second part of the question please helppp!!! will give brainliset
Answer:
$79.99
Correct method:
[tex]\rightarrow \sf 5(r-14.5)=327.45[/tex]
[tex]\rightarrow \sf 5r-72.5=327.45[/tex]
[tex]\rightarrow \sf 5r=327.45+72.5[/tex]
[tex]\rightarrow \sf 5r=399.95[/tex]
[tex]\rightarrow \sf r=\dfrac{399.95}{5}[/tex]
[tex]\rightarrow \sf r=79.99[/tex]
The regular price is $79.99
Answer:
$79.99
Step-by-step explanation:
The error is in step 3. He needed to ADD 72.50 to both sides of the equation. Instead, he added 72.50 to the left side and subtracted 72.50 from the right side.
Correction calculation
5(r - 14.50) = 327.45
5r - 72.50 = 327.45
5r = 399.95
r = 79.99
The regular price is $79.99
Can someone please help me with this question?
Answer:
x< -6 or x > 0 (C is correct for question 1.) x ≤ 2 (C is correct for question 2)
Step-by-step explanation:
You have given me 2 questions:
| x + 3 | + 7 > 10
3x + 6 ≤ 12
Let's solve the first one:
| x + 3 | + 7 > 10
Before we start, the greater-than sign means that the point on the number line has to not be filled in.
| x + 3 | + 7 > 10
**Along with this equation you need to do a negative one meaning you need to flip the sign to a less than one and make 10 and 7 negative.
| x + 3 | - 7 < -10
| x + 3 | + 7 > 10
**Notice that this one is the original one.
Subtract 7 both sides
| x + 3 | > 10 -7
Now do 10-7
| x + 3 | > 3
Now subtract 3 both sides
x > 0
The negative case:
| x + 3 | - 7 < -10
Add 7 both sides
| x + 3 | < -10 + 7
Do -10 + 7
| x + 3 | < -3
Subtract 3 both sides
x < -3-3
Solve -3-3
x < -6
Your inequalities:
x< -6 or x > 0
The or statement is for greater than and the "and" is for less than.
Answer Choice C is correct.
Next Question:
3x + 6 ≤ 12
**Before we do anything, we have a less than or equal sign**
The point will be filled on the number line.
This is a typical inequality two-step:
3x + 6 ≤ 12
Subtract 6 from both sides
3x ≤ 12-6
Do 12-6
3x ≤ 6
Now divide 6 by 3
x ≤ 2
Answer Choice C is correct.
Find the equation of the line that is perpendicular to the line Y equals negative 4X -4 and passes through the point -2, -4. Write the equation in point slope form
======================================================
Perpendicular lines have slopes that are opposite reciprocals.
This means we take the slope, flop it over, and change its sign.
In this case, we have
[tex]\boxed{-4}[/tex]
First, flop it over:
[tex]\boxed{-\frac{1}{4}}[/tex]
Change its sign:
[tex]\boxed{\frac{1}{4}}[/tex]
Now, let's write the equation of the line in point-slope form:-
[tex]\bigstar\boxed{\pmb{y-y1=m(x-x1)}}\longleftarrow\sf{Point-Slope~Formula}[/tex]
Where
y₁ is the y-coordinate of the point that the line intersects
m is the slope of the line
x₁ is the x-coordinate of the point that the line intersects
In this case,
y₁ is equal to -4
m is equal to [tex]\boxed{\frac{1}{4} }[/tex]
x₁ is equal to -2
Plug in the values:-
[tex]\bigstar{\boxed{y-(-4)=\frac{1}{4}(x-(-2)}[/tex]
Simplify:-
[tex]\longrightarrow\sf{y+4=\frac{1}{4} (x+2)[/tex]
and we're done!
===========================================================
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Find the value of X
And tell whether the side lengths form a Pythagorean triple
Answer:
8 and yes
Step-by-step explanation:
c² - b² = a²
100 - 36 = a²
64 = a²
a = 8
the three sides form a sequence, 6, 8, 10, which is the pythagorean triple.
1. Find the length of the arc shown in red:
2. Find the area of the circle:
Answer:
Step-by-step explanation:
What is the area of a sector with a central angle of 10π7 radians and a radius of 18. 4 m? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. M².
The area of the sector of the circle will be 759.34 m². It is the amount of area enclosed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The given data in the problem is;
[tex]\rm \theta[/tex] is the central angle=[tex]\frac{10\pi}{7}[/tex]= 4.485
r is the radius = 18.4 m
The area of a sector of a circle is found as;
[tex]\rm A= \frac{\theta}{2} \pi r^2 \\\\ \rm A= \frac{4.485}{2} \times (18.4)^2 \\\\ \rm A=759.34 \ m^2[/tex]
Hence the area of the sector of the circle will be 759.34 m².
To learn more about the area of the sector refer to the link;
https://brainly.com/question/1582027
You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded?
1.75% and 1 time
5.7% and 4 times
1.75% and 16 times
5.7% and 16 times
Answer:
1.75% and 16 times
Step-by-step explanation:
Compound interest formula:
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = initial principal balancer = annual interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periodsGiven:
P = $600r = 7% = 0.07n = 4t = 4Substituting given values into the formula:
[tex]\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}[/tex]
[tex]\sf =791.9576107...[/tex]
Equivalent interest rate:
[tex]\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%[/tex]
Number of times compounded:
[tex]\sf \implies nt=4 \times 4=16[/tex]
The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10 inches) and the standard deviation is 3 inches.
Use the table to estimate the probability that a randomly -selected male is between 67 and 45 inches tall. Express your answer as a decimal.
Using the normal distribution, it is found that the probability is 0.16.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively, [tex]\mu = 70, \sigma = 3[/tex].
The proportion of students between 45 and 67 inches is the p-value of Z when X = 67 subtracted by the p-value of Z when X = 45, hence:
X = 67:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{67 - 70}{3}[/tex]
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 70}{3}[/tex]
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at https://brainly.com/question/24663213
There are few differences in Florida plants as fall arrives. What differences might you see in the seeds of Florida plants?
A The seeds are dormant.
B The seeds are being produced.
C The seeds are ready for harvest.
D The seeds are starting to germinate.
In Florida, one difference in plants is that as fall arrives seeds are ready to be harvested.
What is fall?Fall is one of the four seasons that exists in most countries including the United States. During this season, temperatures drop, and days become shorter.
How does this season affect Florida plants and seeds?In most plants, the beginning of the fall implies the beginning of the harvesting season. This means that during this season seeds are ready to be collected or harvested.
Learn more abour seeds in: https://brainly.com/question/15976369
Answer:it answer is harvested
Step-by-step explanation: