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Vikentia [17]
4 years ago
10

Solve for a.

Mathematics
1 answer:
muminat4 years ago
8 0

A. Because you would have to subtract C to isolate a by itself

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wyatt opend a savings account 4 years ago. the account earns 4%interest compounded quarterly if the current balance is $1,000.00
Doss [256]

Answer:

He deposited initially $852.82

Step-by-step explanation:

The rule of the compound interest is A=P(1+\frac{r}{n})^{nt}, where

  • A is the new amount
  • P is the initial amount
  • r is the rate in decimal
  • n is the period of the time
  • t is the time

∵ Wyatt opened a savings account 4 years ago

∴ t = 4

∵ The account earns 4% interest compounded quarterly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 4 ⇒ compounded quarterly

∵ The current balance is $1,000.00

∴ A = 1,000

→ Substitute these values in the rule above to find P

∵ 1,000 = P(1+\frac{0.04}{4})^{4(4)}

∴ 1,000 = P(1+0.01)^{16}

∴ 1,000 = P(1.01)^{16}

→ Divide both sides by  (1.01)^{16}

∴ 852.8212622 = P

→ Round it to the nearest cent (2d.p)

∴ P = 852.82

∴ He deposited initially $852.82

4 0
3 years ago
The graph of g(x)=(0.75)x+2 is shown.
Andrei [34K]

we are given

f(x)=(0.75)^x+2

For finding asymptote , we can find limit

\lim_{x \to \infty} f(x)= \lim_{x \to \infty}((0.75)^x+2)

\lim_{x \to \infty} f(x)= \lim_{x \to \infty} (0.75)^x+\lim_{x \to \infty} 2)

now, we can solve it

\lim_{x \to \infty} f(x)= 0+2

\lim_{x \to \infty} f(x)= 2

so, horizontal asymptote is

y= 2.............Answer

6 0
3 years ago
Weekly demand for a product is normally distributed with a mean and standard deviation of 3,211 and 484 units, respectively. Wha
umka21 [38]

Answer:

The probability it is greater than or equal to 0.95 and less than or equal to 0.96

Step-by-step explanation:

In order to calculate the probability that weekly demand exceeds 4,044 we would have to calculate the z value as follows:

Z= (X-mean)/standard deviation

Z= (4044 - 3211)/484

Z=1.721

So, looking for standard normal distribution table 1.7 from row, we get values from 0.9554 till 0.9633, for column 0.02 it is 0.9573

Therefore, the probability it is greater than or equal to 0.95 and less than or equal to 0.96

3 0
3 years ago
(I have to check 2) Which of the following statements are true? Check all that apply.
miss Akunina [59]

Answer:

The true statements are B and C

5 0
3 years ago
Which represents the inverse of the function f(x) = 4x?
Bezzdna [24]

Step-by-step explanation:

h(x) = 1/4 x

tha is the answer

8 0
3 years ago
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