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Stella [2.4K]
3 years ago
7

Melanie invests $4,000 into an account offering 4% interest compounded annually. Gina invests $4,000 into a simple interest savi

ngs account offering a 4.5% interest rate. What is the dollar amount of the greater balance at the end of five years? Round to the nearest dollar. Use the formula es026-1.jpg for compound interest; Use the formula es026-2.jpg for simple interest.
Mathematics
2 answers:
VashaNatasha [74]3 years ago
4 0
Melanie: 
Amount after 5 years = 4000(1 + 0.04)⁵ = $4867

Gina:
Amount after 5 years = 4000 + 5(0.045 x 4000) = $4900

Answer: Gina has the greater balance and her balance is $4900.
Natalija [7]3 years ago
3 0

Answer:

4900

explanation: i did the test

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Answer:

the first step is subtract 4 from both sides

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Step-by-step explanation:

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Please I will rate you with 5 stars just please help me with this problem
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Answer:

D

Step-by-step explanation:

If we isolate the variable in each given compound inequality, we can quickly realize that D is correct.

16\geq 3x+4>1\\12\geq 3x>-3\\4\geq x>-1

x is less than or equal to four (solid point on 4 with line going left), but greater than -1 (open point going right).

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[3 - (4 + 32 * 8) ÷ 4] =
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<span>[3 - (4 + 32 * 8) ÷ 4] 
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{x|x is an odd whole number less than 8}
yawa3891 [41]

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Step-by-step explanation:

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3 years ago
Find the first three iterates of the function f(z) = z2 + c with a value of c = 2 - 3i and an initial value of z0 = 1 + 2i.
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Answer:

C

Step-by-step explanation:

We have: (I rewrote the function)

f(z_n)={z_{n-1}} ^2+c

Given that:

\displaystyle c=2-3i \text{ and } z_0 = 1 + 2 i

The first iterate will be:

\displaystyle \begin{aligned} f(z_1)&=(z_0)^2+c \\ &=(1+2i)^2+(2-3i) \\ &= (1+4i+4i^2)+(2-3i) \\ &=1+4i-4+2-3i \\ &=-1+i \end{aligned}

The second iterate will be:

\begin{aligned}f(z_2) &=(z_1)^2+c\\ &=(-1+i)^2+(2-3i) \\&= (1-2i+i^2)+(2-3i) \\&=1-2i-1+2-3i \\&=2-5i \end{aligned}

And the third iterate will be:

\begin{aligned} f(z_3)&=(z_2)^2+c\\ &=(2-5i)^2+(2-3i) \\ &=(4-20i+25i^2)+(2-3i) \\ &=4-20i-25+2-3i \\ &=-19-23i \end{aligned}

Hence, our answer is C.

3 0
3 years ago
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