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Tems11 [23]
3 years ago
11

How many years will it take for a sum of money to double at 10% compounded annually

Mathematics
1 answer:
Bond [772]3 years ago
5 0

Answer:

t=7.27 years

Step-by-step explanation:

Let the money be p and t will be the number of years that will be needed for the money to get double.

ATQ, 2p=p*(1+0.1)^t

2=(1.1)^t

log(2)/log(1.1)=t, t=7.27

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What is the best first step to write this linear equation in slope-intercept form?
drek231 [11]

Answer:

subtract the term in "x" (1/7 x) on both sides of the equal sign

Step-by-step explanation:

Recall that in order to get a linear equation in slope-intercept form, all is needed is to solve for for "y" in the equation. That means isolate the variable "y" on one side of the equal sign.

In order to do such, all is needed in the given equation: \frac{1}{7} x+y=-8, is to subtract the term in "x" on both sides of the equal sign, so the term disappears on the left, leaving the variable "y" on its own:

\frac{1}{7} x+y=-8\\\frac{1}{7} x-\frac{1}{7} x+y=-8-\frac{1}{7}x\\ y=-\frac{1}{7} x-8

This last expression is now the equation of the line in slope-intercept form.

3 0
4 years ago
Am i getting paid for answering questions @eurpoa2344
Anastasy [175]

Answer:

ooooo thats rlyy cooll!!

8 0
3 years ago
Read 2 more answers
A bicycle has a listed price of 837.95 before tax if the sales tax rate is 7.5% find the total cost of the bicycle with a sales
Andru [333]

Answer:

The total cost of a bicycle after the tax = $900.8

Step-by-step explanation:

Given

  • The cost of a bicycle before tax = 837.95 (let say in $)
  • Sales tax = 7.5% = 0.075

To determine

The total cost of the bicycle with a sales tax include

The tax amount can be calculated by multiplying Sales tax i.e. 0.075 with the cost of bicycle before tax i.e. 837.95.

Thus,

Tax amount = 7.5% × 837.95

                    = 0.075 × 837.95

                    = $62.85

Thus, the tax amount is: $62.85

Total cost after the tax can be calculated by adding the Tax amount and the cost before tax.

Therefore,

The total cost of a bicycle after the tax = $62.85 + $837.95

                                                                 = $900.8

Hence, the total cost of a bicycle after the tax = $900.8

4 0
3 years ago
Read 2 more answers
The side links of a triangle are 3 m, 4 m common 5 m. Suppose the side links are multiplied by four. Describe the change in peri
andrew-mc [135]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Side links are : 3m, 4m, 5m

The perimeter of a triangle = (a + b + c)

Perimeter 1= (3 + 4 + 5) = 12m

If the side links are multiplied by 4 :

3*4 = 12 m

4*4 = 16m

5*4 = 20m

Perimeter2 = (12 + 16 + 20) = 48 m

Comparing the perimeters:

Perimeter 1 = perimeter 2

12 = 48

Hence, perimeter also increases by 4 folds

8 0
3 years ago
25. In the diagram, CT = 10.<br> What is the length of AB?
klio [65]

Answer:

The length of AB is 4.33012701892

Step-by-step explanation:

1. You find 10*sin(60 degrees), because sin(60 degrees) =  x/CT, and CT = 10. That means that sin(60 degrees) = x/10. You multiply by 10 on both sides, which would mean that x = 10sin(60 degrees) and that AT = 8.66025403784 because x is AT.

2. Then, because the relation between AT and AB and Angle T is sine, you use cosine to find x. If you do that, you find that the equation is sin(30 degrees) = x/8.66025403784. That means that 8.66025403784*sin(30 degrees) = x. If you calculate that, you find that x = 4.33012701892, and AB is x.

3 0
3 years ago
Read 2 more answers
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