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erma4kov [3.2K]
3 years ago
15

Tasha invests $5,000 at 6% annual interest and an additional $5,000 at 8% annual interest. Thomas invests $10,000 at 7% annual i

nterest. Which statement accurately compares Tasha’s and Thomas’s investments if interest is compounded annually?
Compound interest formula: V (t) = P (1 + StartFraction r Over n EndFraction) Superscript n t
t = years since initial deposit
n = number of times compounded per year
r = annual interest rate (as a decimal)
P = initial (principal) investment
V(t) = value of investment after t years
Each person will have exactly the same amount over time because each invested $10,000 at an average interest rate of 7%.
Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
Thomas’s investment will yield more from the start because he has more money invested at the average percentage rate.
Tasha’s investment will yield more at first because she invested some at a higher rate, but Thomas’s investment will yield more over the long run.
Mathematics
2 answers:
Lelu [443]3 years ago
8 0

Answer:

Option C -Thomas’s investment will yield more from the start because he has more money invested at the average percentage rate.

Step-by-step explanation:

did it on edge

olya-2409 [2.1K]3 years ago
3 0

Answer:c

Step-by-step explanation:

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Helen earns 7.50 an hour at her job but if she works more than 35 hours in a week and is paid 1 and 1/2 times her regular salary
masha68 [24]
352.50 divided by 7.50 = 47
answer = 47 Hours
6 0
3 years ago
The annual snowfall in a town has a mean of 39 inches and a standard deviation of 10 inches. Last year there were 64 inches of s
Mariana [72]

Answer:

2.50 standard deviations above the mean

Step-by-step explanation:

The z-score measures how many a measure is above or below the mean. If the score is positive it is above the mean. If it is negative, it is below. The zscore is given by

Z = \frac{X - \mu}{\sigma}

In which \mu is the mean and \sigma is the standard deviation.

In this problem, we have that:

\mu = 39, \sigma = 10

Last year there were 64 inches of snow. How many standard deviations from the mean is that?

This is Z when X = 64. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{64 - 39}{10}

Z = 2.5

So the correct answer is:

2.50 standard deviations above the mean

6 0
3 years ago
What is the perimeter of ΔABC?<br> The length of side AC¯¯¯¯¯ in ΔABC is 5 units.
Firdavs [7]

Answer:

11 units

Step-by-step explanation:

perimeter of triangle ABC = AC+AB+BC

perimeter of triangle = 5 units + 4 units + 2 units

perimeter of triangle = 11 units

8 0
3 years ago
the first four numbers in a pattern are 4, 2, 1, and 0.5. Find the next three numbers in the pattern.​
jok3333 [9.3K]

Given:

The first four numbers in a pattern are 4, 2, 1, and 0.5.

To find:

The next three numbers in the pattern.​

Solution:

We have a pattern,

4, 2, 1, 0.5

Clearly, it is a GP and the common ratio is \dfrac{1}{2} because each term is half of its preceding term.

Next term after 0.5 = 0.5\times \dfrac{1}{2}=0.25

Next term after 0.25 = 0.25\times \dfrac{1}{2}=0.125

Next term after 0.125 = 0.125\times \dfrac{1}{2}=0.0625

Therefore, the next three numbers in the pattern are 0.25, 0.125 and 0.0625 respectively.

5 0
2 years ago
Find the discriminant of the following equation. x^2+2x+7=0
FinnZ [79.3K]

The discriminant of ax^2+bx+c is d=b^2-4ac

d = 2^2 - 4(1)(7) = 4 - 28 = -24

Negative, no real solutions.

Answer: -24

6 0
3 years ago
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