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vodka [1.7K]
2 years ago
5

Caleb invested $1400 in an account that pays 4% interest compounded annually.

Mathematics
1 answer:
34kurt2 years ago
3 0

Answer:

$1842.30

Step-by-step explanation:

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 1,400.00(1 + 0.04/1)^(1)^(7)

A = 1,400.00(1 + 0.04)^(7)

A = $1,842.30

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nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. in the first part of the race, her av
Nataliya [291]
Total distance 5 km; at 5km / 0.65 h =

Second part distance: x; at 6 km/h, during t2

First part distance: 5 - x; at 8.75 km/h, during t1

V = d/t ⇒ t = d/V

t2 = x/6
t1=[5-x]/8.75

t2 + t1 = 0.65

x/6 + [5-x]/8.75 = 0.65

x/6 + 5/8.75 - x/8.75 = 13/20

 x/6 - x/8.75 = 13/20 - 5/8.75

x/6 - 4x/35 =13/20 - 20/35

35x - 24x = (35*6)(35*13 - 20*20)/(20*35)

11 x = 16.5
x = 16.5/11 = 1.5 km












5 0
3 years ago
7th grade work help please<br> will give brainliest:)
Montano1993 [528]

Answer: 67.27

Step-by-step explanation:

7.1 x 7.1 for the square = 50.41

7.1 divided by 2 = 3.55

3.55 x 4.75= 16.86

Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same

Add the 50.41 and the 16.86 and you have your answer!

4 0
3 years ago
What is the volume of this cylinder?
tatiyna

Answer:

The volume of the cylinder is 792

Step-by-step explanation:

3.14*6^2*7= 791.68  then when you round it up to the nearest whole number it's 792

4 0
2 years ago
A graph is shown below:
Charra [1.4K]

Answer:

The correct answer is actually B. x - 3y < 5

Step-by-step explanation:

Because you must convert the equation to y-intercept form first.

Which makes it y = 1/3x - 1.6

So y = 1.6 and using the slope of 1/3x you can find that x = 5

3 0
3 years ago
Based on historical data, your manager believes that 43% of the company's orders come from first-time customers. A random sample
tatyana61 [14]

Answer:

Following are the solution to the question:

Step-by-step explanation:

p = 0.43\\\\n = 243\\\\\sigma =\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.43 (1 -0.43)}{243}}=0.0013

z-score for \hat{p}=0.2 will be:

z score for will be:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.39 - 0.43}{0.0013}=-30.76

P(0.2 using excel method to calculate the value.

7 0
3 years ago
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