Answer:
sin = opp/hyp
sin B = 12/13
sin B = 0.923
C
Mr. Jones and Mr. Smith both plan to retire in 5 years. Mr. Jones has invested $250 per
month in a 401k retirement account for 20 years, and Mr. Smith has invested $500 a month
in a 401k retirement account for 10 years. Mr. Jones and Mr. Smith invested in the same
accounts yielding the same interest rate. Which statement about the retirement investments
of Mr. Jones and Mr. Smith is most likely to be true?
Mr.Smith will have more money saved because he invested more money each month.
Mr. Smith and Mr. Jones will have the same amount in their retirement funds.
Mr. Jones will have more money because he invested for a longer period of time.
cannot determine
Answer:
i don't know, i just want to know if you got it right
Step-by-step explanation:
The correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
Mr. Jones and Mr. Smith both plan to retire in 5 years.
From the formula:
The rate of interest is the same for both cases.
The duration for Mr. Jones is 20 years
The Initial investment amount for Mr. Jones = $250
The duration for Mr. Smith is 10 years
The initial investment amount for Mr. Smith = $500
Mr. Jones will have more money because he invested for a longer period of time.
Thus, the correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.
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please help this is very urgent!!! :((((
Answer:
7
Step-by-step explanation:
x = 2
3x/2+4
3(2)/2 + 4
3+4
7
Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per
ride is 50¢. If his parents gave him $20, write and solve a linear equation to find how many
rides he can go on.
Answer:
I think 40
Step-by-step explanation:
20/.50
Answer:
30 rides
Step-by-step explanation:
First subtract $5 from $20 (20-5) to get $15 now multiply 15 by 2 (which is the same as dividing by 1/2. and you get 30. so your answer is 30 rides
20-5=15 15x2=30 30 rides
[tex] \frac{100}{1000} = {10}^{x} [/tex]
Jacob buys 6 game tickets and 3 ride tickets at a carnival for $39. Emily buys 2 game tickets and 2 ride tickets for $18. Find the cost of a game ticket and the cost of a ride ticket at the carnival. Set up and solve a system of equations.
Your answer:
Answer:
Cost of ride ticket = $5
Cost of game ticket = $4
Step-by-step explanation:
Given that:
Let ;
game ticket = g
Ride ticket = r
Jacob :
6g + 3r = 39 - - - (1)
Emily :
2g + 2r = 18 - - - - (2)
Divide (2) b y 2
g + r = 9 - - - - (3)
From (3)
g = 9 - r
Substitute ; g = 9 - r into (1)
6(9 - r) + 3r = 39
54 - 6r + 3r = 39
54 - 3r = 39
-3r = 39 - 54
-3r = - 15
r = 5
Put r = 5 in (g = 9 - r)
g = 9 - 5
g = 4
Hence,
Cost of ride ticket = $5
Cost of game ticket = $4
Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3
3.4 x 10^3 in standard notation
Answer:3400
Step-by-step explanation:
Answer:
3240
Step-by-step explanation:
3.24
×
10
3
=
3.24
×
1000
This means you move the decimal spot 3 digit spaces to the right.
Count 3 spaces:
3.2.4.0 →
3240
So then your number becomes
3240
I need Your help plish
Answer:
5
Step-by-step explanation:
Because there is zones
The sum of 3 consecutive numbers is 72. What is the largest of these numbers?
23
25
26
28
Answer:
25
Step-by-step explanation:
23+24+25=72
hope i helped!! :)
( if it is right, pls mark brainliest!!)
Answer:
25
Step-by-step explanation:
let x represent the first consecutive number.
let x+1 represent the second consecutive number.
let x+2 represent the third consecutive number.
x + x+1 + x+2 = 72
3x + 3 = 72
3x = 72 - 3
3x = 69
3x/3 = 69/3
x= 23
first number= x = 23
second number = x+1
= 23+1
=24
third number= x+2
=23+2
=25
the largest of these numbers is 25
Which of the following is true about the function above? - Apex
Answer:
The answer is B, The domain is (-4, infinite) and it's range is (0, infinite)
Step-by-step explanation:
If we graph this equation, we can see that x=-4 is the ascending point on the graph, infinitely continuing upwards, giving us -4, infinite. The range, however is found with infinitely continuing off the graph to the right, making it a positive infinitely for the y value as it is NOT a steady straight line.
What percent of $18 is $6?
33.333% (with the 3 repeating)
1/3 of 18 is 6, so 33.333% (with the 3 repeating) of 18 would be 6.
Answer:
33.333% (its a repeating 3)
Step-by-step explanation:
$6 is 33.33% of 18.
I got this number by dividing 6 by 18, which gave me 0.33333333333.
I then converted 0.33333333333 to a percentage, rounded, and got 33.33%.
Multiply. Write your answer as a fraction in simplest form.
5/6(−8/15)=
Answer:
-4/9
Step-by-step explanation:
I used a calculator.
5/6(−8/15) in simplest form is -4/9.
What is a fraction ?A fraction is written in the form of a numerator and a denominator.There are two types of fractions. One is proper fraction in which numerator is less than the denominator and another one is improper fraction in which denominator is less than the numerator.All fractions can be written in the form of p/q, where q ≠ 0 cause anything divided by 0 is undefined.
According to the given questions we have to multiply two fractions (5/6)(-8/15) which is
= -40/90.
= -4/9.
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Caleb paid $4.50 for 12 bagels. Which of the following have a unit price for bagels that is greater than the unit price Caleb pald? Select all that
apply
A) $2.25 for 6 bagols
B) $13.50 for 10 bagels
c) $3.30 for 6 bagols
D) $5.00 for 12 bagets
E) $8.10 for 18 bagels
Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
unit price of something is price of 1 thing.
LEts suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
Given that Caleb paid $4.50 for 12 bagels.
Unit price = 4.50 / 12 = 0.375
A) $2.25 for 6 bagols
Unit price = 2.25 / 6 = 0.375
B) $13.50 for 10 bagels
Unit price = 13.50 / 10= 1.35
c) $3.30 for 6 bagols
Unit price = 3.30 / 6 = 0.55
D) $5.00 for 12 bagets
Unit price = 5.00 / 12 = 0.41
E) $8.10 for 18 bagels
Unit price = 8.10 / 18 = 0.45
Hence, Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.
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sum n=3 ^ infty (2n+5)
find the series shown
=====================================================
Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]
which matches with choice C. The three dots indicates the pattern goes on forever.
-------------------
Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]
What is 7/8 x 4/5 divided by 7/20
Answer: 2
Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.
The product of a number and is 3 Find the number.
Your answer
Which point is an example of a y intercept?
A. (-2, 8) B. (3, 4)
C. (0, -4)
D. (5,0)
Isaaq put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week? Please add an numerical explanation
Answer:
The answer is $159
Step-by-step explanation:
2b + 3 - Day 1
4b + 6 - Day 2
6b + 9 - Day 3
477=6b+9
-9 -9
468=6b
78=b
(2x78) + 3 = 159
The answer is $159
Find the slope help plz
Answer:
The slope would be 10/15 or 2/3 in simplest form.
A washer and a dryer cost combined $664 The washer costs $36 less than the dryer. What is the cost of the dryer?
Answer: 350?
Step-by-step explanation:
664-36=628
628 divided by 2= 314 (cost of the washer)
314+36= 350
Hope this helps!
one-eight a number is two more than one-fourth the number. What is the number?
Answer:
40
Step-by-step explanation:
40/4 = 2+40/5 = 10
Five times the sum of a number n and seven
Hint- you need parenthesis
The equation of the problem is [tex]5(n+7)[/tex]
The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.
2(x - 3) = -8
can someone explain to me how to slove this without calculator please and thank you<3
Answer:
-1
Step-by-step explanation:
Distribute
2(x-3)=-8
2x-6=-8
2x=-2
DIVIDE 2 on both sides
x=-1
HELPP!!! I need help!
Answer: c.
Step-by-step explanation:
x^2 + 2x - 5 - (x - 3)
distribute the negative
x^2 + 2x - 5 - x + 3
combine like terms
x^2 + x - 2
Answer:
B
Step-by-step explanation:
You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.
Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?
Given:
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
There are 48 blue raspberry and cherry flavored ice sticks altogether.
To find:
The total number of ice sticks.
Solution:
Let x be the total number of ice sticks.
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Blue raspberry [tex]=\dfrac{2}{5}x[/tex]
Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]
[tex]=\dfrac{3}{5}x[/tex]
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]
[tex]=\dfrac{1}{5}x[/tex]
Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]
[tex]=\dfrac{2}{5}x[/tex]
There are 48 blue raspberry and cherry flavored ice sticks altogether.
[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]
[tex]\dfrac{4}{5}x=48[/tex]
[tex]x=48\times \dfrac{5}{4}[/tex]
[tex]x=60[/tex]
Therefore, the total number of ice sticks is 60.
what are the other ways two straight lines could intersect in the coordinate plane? How many solutions would each of these options have?
Answer:
what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver
Answer:
Step-by-step explanation:
On the 2nd equation, turn the slope the -3x. This creates two parralel lines.
Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.
What would be the first step you would take in simplifying 6 - 3 + 5 x 2 ?
Answer: multiply 5x2 first
Step-by-step explanation:
Answer:
5 × 2
Step-by-step explanation:
PEMDAS:
P: Parethises
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Since multiplying is before adding and subtracting you multiply first.
Answer:
5 × 2
4x + 11y = 36, What is the x intercept (let y = 0)? *
To find the x intercept we must put zero instead of the y in the function.
Let's do it....
[tex]4x + 11(0) = 36[/tex]
[tex]4x + 0 = 36[/tex]
[tex]4x = 36[/tex]
Divided sides by 4
[tex] \frac{4}{4}x = \frac{36}{4} \\ [/tex]
[tex]x = 9[/tex]
Thus the x intercept is 9 .
And we're done....
♥️♥️♥️♥️♥️
Farmer Jane has many hens that have laid many eggs. Before the eggs hatch, Jane wants to
count how many eggs are blue, how many are brown, and how many are white.
Jane counts that, of all the eggs, 6 are blue and 25% are brown.
If 10% of the eggs are blue, how many of the eggs are white?
a) 15
b) 21
c) 39
d) 65
Answer:
The correct option is;
c) 39
Step-by-step explanation:
The given information are;
The number of eggs that are blue = 6
The percentage of eggs that are brown = 25%
The percentage of eggs that are blue = 10%
Let the number of eggs Jane has = X
Therefore;
10% of X = 10/100 × X = 6
X = 6 × 100/10 = 60
The number of eggs Jane has = X = 60
The percentage of the eggs that are white eggs = 100 - (The percentage of eggs that are brown + The percentage of eggs that are blue)
The percentage of the eggs that are white eggs = 100 - (10 + 25) = 65%
The percentage of the eggs that are white eggs = 65%
∴ The number of eggs that are white = 65% of X = 65/100 × X= 65/100× 60 = 39 eggs
The number of eggs that are white = 39 eggs.
Write the symbolic expression in words:
PLEASE SOMEONE HELP
Answer:
The expression “32” is a symbolic term. ... This means the term has variable meaning depending on which value is substituted for x. For example, if you set x=−2, you get (−2)2, another name for 4. x2−6x+4y (mentioned above) is symbolic term with two variables.
I hope that helps im only in 8th grade so I don't fully understand it either lol