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Arisa [49]
3 years ago
15

Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take fo

r Zoe's account to reach $7,000?
Mathematics
1 answer:
GenaCL600 [577]3 years ago
8 0

Answer:

43.407 years

Step-by-step explanation:

Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take for Zoe's account to reach $7,000?

We are asked to find time t in a compound interest formula

The formula is given as:

t = log(A/P) / n[log(1 + r/n)]

A = Total amount = $7000

P = Principal = $600

n = number of times interest is compounded = Quarterly =4

r = Interest rate = 5.7% = 0.057

Hence,

t = log(7000/600) /4[log (1 + 0.057/4)]

t = 43.407 years

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Eddi Din [679]

Option A: It is vertically stretched

Option B: it is shifted down

Solution:

The exponential function f(x)=2^{x}undergoes two transformations to   g(x)=5 \cdot 2^{x}-3.

<u>To determine how the graph changes:</u>

Consider the given exponential function f(x)=2^{x}.

Let y = f(x)

Vertically compressed or stretched:

A vertically compression (stretched) of a graph is compressing the graph toward x-axis.

• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.

• if 0 < k < 1 if 0 < k < 1 , the graph is f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.  

• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

Here, k = 5  

So the graph will be vertically stretched.

Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.

So, The graph is shifted down.  

Hence option A and option B is the correct answer.

5 0
3 years ago
500=100(x-1)<br> Someone tell me step by step
Andre45 [30]
First, distribute the 100 to the (x-1) portion:
500 = 100x - 100

then, add 100 to both sides of your equation to get “x” alone on the right side:
500 + 100 = 100x - 100 + 100
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next, divide 100x by 100 and 600 by 100 to isolate a singular “x”:
600/100 = 100x/100
6 = x

therefore, x=6 is your solution
5 0
2 years ago
Julie decided to grow a plant from a seed. She measured the height of her plant each day for 30 days.
k0ka [10]

The given formula is f(t) = 0.4t

They want to solve for f(10), replace t in the formula with 10"

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Multiply:

f(10) = 4 centimeters.

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Murljashka [212]

Answer:

18/44

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