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Jobisdone [24]
3 years ago
10

Cheyanne plans to put $150 into a savings account. She can place her money into an account represented by f(x) = 5x+150, or into

another account represented by g(x) = 150(1.03)^x. Which of thses accounts has the highest value in 3 years and the highest value in 10 years?
Mathematics
1 answer:
stepan [7]3 years ago
4 0
In order to calculate the amount, we simply substitute the number of years into x in both equations.
After 3 years:
f(3) = 5(3) + 150
= $165
g(3) = 150 * 1.03⁽³⁾
= $163.90
After 10 years:
f(10) = 5(10) + 150
= $200
g(10) = 150 * 1.03⁽¹⁰⁾
= $201.59
After three years, the first account has more money but after ten years, the second account has more money.
You might be interested in
find the perimeter when 96 triangles are put together in the pattern shown below. Assume that all triangle sides are 1 cm long.
Vikentia [17]

The perimeter when 96 triangles are put together in the pattern shown below will be 98cm

Find the required triangle attached

In the diagram shown, we can see that we have 5 triangles.

The first thing we need to do is add one more triangle to have, six triangles,

Perimeter of the resulting 6 triangles = 6 + 2 = 8cm

For 8 triangles;

Perimter = 8 + 2 = 10cm

For "n" triangles;

Perimeter of n triangles = n + 2

Hence if 96 triangles are put together in the pattern shown below, hence

n = 96

Perimeter of the 96 triangles = 96 + 2

Perimeter of the 96 triangles = 98 cm

Hence the perimeter when 96 triangles are put together in the pattern shown below will be 98cm

Learn more here: brainly.com/question/13362349

4 0
3 years ago
A farm has sheep,pigs and cows at a ratio of 8:3:2. There are 10 cows, how many pigs and sheep are there
dedylja [7]

15 pigs and 40 sheep

10 cows is equivalent to 2 parts of the ratio, hence

\frac{10}{2} = 5 ← 1 part of the ratio, hence

8 parts = 8 × 5 = 40 ← number of sheep

3 parts = 3 × 5 = 15 ← number of pigs


8 0
3 years ago
Samuel is going to invest $4,900 and leave it in an account for 14 years. Assuming the
Vladimir79 [104]

Answer:

0.054

Step-by-step explanation:

Using the compound formula A=P(1+r/n)^nt we can plug in the numbers we know. A being the total, P the initial amount, n is the number of compounds in a year, and t is the number of years passing. So 10300= 4900(1+ r/2)^2(14). We have to isolate r in order to find the rate. We can divide both sides by 4900, giving us 103/49= (1+ r/2)^28. Then we take the 28 square root from both sides. 1.02689= 1 + r/2. Subtract 1 from both sides. 0.02689= r/2. Then multiply both sides by two. r= 0.054.

3 0
2 years ago
Which set of ordered pairs represents a function?
finlep [7]

Answer:

{(-1,0),(-8, 9), (7,0), (1,3)}

Step-by-step explanation:

number 3 is the only one with no colliding outputs.

6 0
3 years ago
18. What is the y-intercept of the line that passes<br> through the points (1, 1) and (5, 13)?
TEA [102]

Answer:

-2

(The coordinate point is (0,-2))

Step-by-step explanation:

First, make an equation of the line.

Start off with finding the slope:

Slope = (13-1)/(5-1) = 12/4 = 3

Then solve for the y-intercept though substitution and simplification:

y=mx+b --> 1=3(1)+b --> 1=3+b --> b= -2

So the answer is -2.

4 0
3 years ago
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