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3 years ago

Use the order of operations to simplify the expression (2/7)^2 x (7/9)^2

Mathematics

1 answer:

Vlad [161]3 years ago

4 0

(2/7)^2 x (7/9)^2
((2^2)/(7^2)) x ((7^2)/(9^2))
(4/49) x (49/81)
*Cross multiply*
(4/81)

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Meg withdrew $300 from her account on Saturday. Then she deposited $174.83 into her account on Sunday.

Nataly [62]

Answer:

-300 + 174.83 = ?

5 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

2 years ago

Read 2 more answers

The admission fee to an amusement park is $38. It costs an additional p dollars to rent a locker to hold your belongings. The to

Anni [7]

38(4)+p(4)=210

152+p(4)=210

P(4)=58

58/4=14.5

It cost $14.5 for one person to rent a locker

4 0

3 years ago

55+16=

ElenaW [278]

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

55 + 16 = 71

13 × 4 = 52

9 - 2 = 7

3/5 = 0.6

Thomas reasoned that if a woodchuck could chuck wood, he would chuck an amount equivalent to the weight of the dirt, or 700 pounds.

Hope it helps!

Mark me brainliest plz.....

Follow me!!!

8 0

2 years ago

1/2 - 3/10 please help

slava [35]

Answer:

$\huge\boxed{\dfrac{1}{5}=0.2}$

Step-by-step explanation:

$\dfrac{1}{2}-\dfrac{3}{10}=\dfrac{1\cdot5}{2\cdot5}-\dfrac{3}{10}=\dfrac{5}{10}-\dfrac{3}{10}=\dfrac{5-3}{10}=\dfrac{2}{10}=\dfrac{2:2}{10:2}=\dfrac{1}{5}\\\\\\\dfrac{1}{2}=0.5;\ \dfrac{3}{10}=0.3\\\\\dfrac{1}{2}-\dfrac{3}{10}=0.5-0.3=0.2$

4 0

2 years ago