$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$900\\ r=rate\to 4.75\%\to \frac{4.75}{100}\dotfill &0.0475\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\dotfill &1\\ t=years\dotfill &9 \end{cases} \\\\\\ A=900\left(1+\frac{0.0475}{1}\right)^{1\cdot 9}\implies A=900(1.0475)^9\implies A\approx 1366.6$

6 0

3 years ago

Read 2 more answers

If x < 5, then which of the following must be true? - x < 5 - x > -5 - x > 5 - x < -5

Nat2105 [25]

Answer:

-x > -5

Step-by-step explanation:

Let's start with a positive number less than 5.

4<5

likewise when applied to -x> -5

-4>-5

4 0

3 years ago

The science club at Jersey High School is sponsoring a dance to raise money for their spring project. They will charge $4 per st

Dennis_Churaev [7]

Answer: 195

Step-by-step explanation:

Cost per student = $4

Total number who attended = n

The cost of the total of student who attended will be cost per student multiplied by the total number of students, that is

Total cos = 4n

Since, they are to pay $140 , for publicity, then the total cost becomes

T = 4n - 140

From the last statement

4n - 140 ≥ 640

4n ≥ 640 + 140

4n ≥780

n ≥ 780/4

n ≥ 195

That means at least 195 students must attend if the science club is to earn at least $ 640

6 0

3 years ago

11. Find the value of x.<br>(6x + 7)<br>(8x - 17)

Leto [7]

Answer:

X= -7/6, 17/8

Step-by-step explanation:

Foil it, then use quadratic to find zeros/roots.

6 0

3 years ago