An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
Find the distance between the two numbers on a number line.
–7 – 3 2/ 3
The distance between the two numbers is
15
Answer:
ft
Step-by-step explanation:
Answer:
Actually the distance is 3 1/3
Please help me with this. And my teacher said to show your work so what do I have to do and she said on paper please help thank you!
Answer:
Step-by-step explanation:
V=H x W x L so 11.25= H (1.5) (2); 3H=11.25 so the height of one box is 3.75’
To find the volume of 5 stacked boxes multiply the volume of one box by 5.
5(3.75 x 1.5 x 2) which is 20.25 cubic feet.
Im being asked to put this in simplest form can anyone help me?
What is 0.57 (7 repeating) expressed as a fraction in simplest form?
Answer:
57/100
Step-by-step explanation:
look it up
Please help me with full calculations
Answer:
use formula,
P(x,y)=P'(-y,x)
so.
R(-2,-2)=R'=(2,-2)
S(1,1)=S'(-1,1)
T(-1,-3)=T'(3,-1)
Step-by-step explanation:
plot R,S,T and R',S',T' in the graph
In a high school high jump contest, the height of clearing the bar ranged from 71 inches to 84 inches. The mean height was 76 inches and the standard deviation was 3.5 inches. What percent of the jumpers were in the group jumping below 79.5 inches
Step-by-step explanation:
Given data:
Range of jumps = 71 to 84 inches
Mean of jumps = 76 inches
standard deviation = 3.5
To calculate the percent of jumpers in the group jumping below 79.5 inches
Let us calculate the number of standard deviation in 79.5 inches
= 79.5/3.5
= 22.71 times
Answer:
84.1%
Step-by-step explanation:
Which of these tables represents a linear function?
Answer:
Second.
Step-by-step explanation:
A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
HELP HELP ME WITH THIS PLSSS!!!!
Answer:
B, C, D, A, E
Step-by-step explanation:
hope it helps
Answer:
B,C,D,A,E
Step-by-step explanation:
X+2y=0
12y= -6x
Plzzz this is due 11:59
Answer:1. X+2y=0 answer:−2y 2. 12y= -6x answer:x=−2y
Step-by-step explanation:
i really need help on this i’m confused
A ball is thrown from the initial height of 3 feet with an initial upward velocity of 29 feet. the ball's height h (in feet) after t seconds is given to determine how long will it take for the ball to hit the ground?
Answer:
0.64
Step-by-step explanation:
What is the distance between the two points? (Round to the nearest tenth)
8.6 units
6.1 Units
2.8 units
9.2 units
. Which of the following is the correct algebraic representation of the translation below?
a. (x – 6, y – 5)
b. (x – 5, y – 6)
c. (x + 5, y + 6)
d. (x + 6, y + 5)
Answer:
D) (x+6, y+5)
Step-by-step explanation:
You can start with the top corner of triangle A
Then count up 5 units and right 6 units
Because you count vertically 5 units that means you're using the y-axis, And because you're counting up, than means the values are positive.
And because you count horizontally 6 units you're using the x-axis, And you are counting to the right so the values are positive.
Down vertically=Negative Y-axis Values. Up vertically=Positive Y-axis Values
Right horizontally=Positive X-axis values. Left horizontally=Negative X-axis Values
Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x = 5[/tex] ---- 5-hour shift
Required
The expected earnings
The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.
Take for instance, the equation is:
[tex]y = 10x + 2[/tex]
The expected earnings will be:
[tex]y = 10*5 + 2[/tex]
[tex]y = 50 + 2[/tex]
[tex]y = 52[/tex]
Expected Earnings = $52
Complete the following sentence. x = x' cosθ - y'sinθ where x’ and y’ are _____.
rotated points
original points
translated points
vertex points
Answer:
ROTATED POINTS
Step-by-step explanation:
HOPE IT HELP MHUW
Someone please help me!!!
Is 1/4 squared a rational?
Answer:
It is a rational.
Step-by-step explanation:
0.25² = 0.0625
It is a rational.
can 5,7 and 13 make a triangle
Answer:
No
Step-by-step explanation:
5+7=12
12>13 X
13+5=18
18>13 YES
13+7=20
20>5 YES
If all equations were true, it would make a triangle, but since only 2 are true, it doesn't make a triangle.
---
hope it helps
FREEEE POINTS REALLY
Answer:
x is less than 46
x<46°
Step-by-step explanation:
............
Ayuda plis contesten los que saben porfis
Answer:
13 c
Step-by-step explanation:
15+6=21
21+3=24
24-7=17
17-4=13
NEED HELPPPPP LOL XDDDDD OH MY GODDD
Answer:
yo w t f is thisssssss
Step-by-step explanation:
b c idek im so cluless rn im in 7th grade XD
the sum of two numbers is 19 and their diffrence is 3
Answer:
8 and 11
Step-by-step explanation:
Amy is baking her famous pies to sell at the Town Fall Festival. She 1 point
uses 32 /4 cups of flour for every 1/2 batches of pie that she makes. How
many cups of flour would Amy use for 7 batches of pie?
A. 21 1/2 cups
B. 112 7/8 cups
C. 150 72 cups
D. 225 34 cups
Answer:
Step-by-step explanation:
A
NO LINKS The circumference of a circle is 36 feet. What is the length of the radius of this circler
O 9 ft
18 ft
36 ft
O 72 ft
Thank you so much for your help! :)
Answer:
18ft
Step-by-step explanation:
Formula of circumference * r x r x 3.14* or d x 3.14*
:DDD And ye glad I could help!
What is the distance between the points (5, -1) and (5,
3)
By using distance formula (which is attached below), you can solve this problem:
√(x2-x1)^2+(y2-y1)^2
(5, -1) and (5, 3)
√(5-5)^2+(3-(-1))^2
√0^2+4^2
√0+16
√16
4
The distance between the two points is 4.
The owner of a flower shop on H street sells 28 roses for $140. What is the cost in dollars per rose?
Answer:
$5 ( sorry if it is incorrect)
Step-by-step explanation:
Does anyone know what the answer to this would be?
Answer:
D
Step-by-step explanation:
Can someone please show me how to do this, I know the answer is 125 a^3 b^2.
The question is shown below in a picture I’m not sure how to do it please explain!
Answer:
Step-by-step explanation:
5^4 = 625. I hope your calculator will do this.
625 / 5 = 125
There is a more general way to do this which will be in harmony with the rest of the question.
5^4 / 5^1 = 5^(4 - 1) = 5^3 = 125
b^4 / b2 = b^(4 - 2) = b^2
a remains as it is at a^3
So the answer is 125 a^3 b^2
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
Tell if the number is rational or irrational. 3.65028
Answer:
Irrational
Step-by-step explanation:
Answer: YES
Explanation: 3.65028 is a terminating decimal, or decimal that ends, and all terminating decimals are rational numbers.