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3 years ago

The verbal expression of 4(2x-7)=39

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

5 0

Answer:

x=8.375

Step-by-step explanation:

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What is 1/10 of 0.08

ZanzabumX [31]

1 / 10 of 0.08
1 / 10 * 0.08
0.08 / 10
0.008 Ans

4 0

3 years ago

At the beginning of each of her four years in college, Miranda took out a new Stafford loan. Each loan had a principal of $5,500

kaheart [24]

Answer:

D. $31,337.27

Step-by-step explanation:

We have that the initial amount of the loan is $5500.

Miranda took the loan for 4 years. So, the total present value is $5500×4 = $22,000.

The rate of interest on the loan is 7.5% i.e. 0.075 and it was for the duration of 10 years.

Also, it is given that the loan was compounded annually.

We have the formula as,

$P=\frac{\frac{r}{n}\times PV}{1-(1+\frac{r}{n})^{-t\times n}}$

i.e. $PV=\frac{P\times [1-(1+\frac{r}{n})^{-t\times n}]}{\frac{r}{n}}$

Substituting the values, we get,

i.e. $PV=\frac{P\times [1-(1+\frac{0.075}{12})^{-10\times 12}]}{\frac{0.075}{12}}$

i.e. $22000=\frac{P\times [1-(1+0.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-(1.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-0.4735]}{0.00625}$

i.e. $22000=\frac{P\times 0.5265}{0.00625}$

i.e. $P=\frac{22000\times 0.00625}{0.5265}$

i.e. $P=\frac{137.5}{0.5265}$

i.e. $P=261.16$

Thus, the total lifetime cost to pay of the loans compounded annually = 261.16 × 120 = $31,339.2

Hence, the total cost close to the answer is $31,337.27

7 0

3 years ago

Read 2 more answers

The board of a large company is made up of 7 women and 9 men. 6 of them will go as a delegation to a national conference.

Burka [1]

Answer:

a) 5765760

b) 60480

c) 5705280

Step-by-step explanation:

Assuming that order is not important:

Number of women = 7

Number of men = 9

Members of the delegation = 6

a) How many delegations are possible?

$n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760$

b) How many of these delegations have all men?

$n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4 \\n_{men} = 60480$

c) How many of these delegations have at least one woman?

$n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280$

4 0

3 years ago

What numbers are divisible by 810

Andrews [41]

If only + numbers are acceptable, then the numbers divisible by 810 are represented by {810n}, where n = {0, 1, 2, 3, ... }

8 0

3 years ago

#1 - HINT - you are finding the total amount make sure you add the interest you calculate to the original deposit amount

Andreyy89

Answer:

$292.50

Step-by-step explanation:

Equation - A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.5%/100 = 0.025 per year.

Solving our equation:

A = 260(1 + (0.025 × 5)) = 292.5

A = $292.50

The total amount accrued, principal plus interest, from simple interest on a principal of $260.00 at a rate of 2.5% per year for 5 years is $292.50.

8 0

3 years ago

Read 2 more answers