On the day after my birthday this year, I can truthfully say: "The day after tomorrow is Monday". On which day is my birthday?

The ratio of Isabella's money to Shane's money is 3:11. If Isabella has $33, how much money do Shane and Isabella have together?

Sergio039 [100]

The ratio of Isabella’s money to Shane’s money is 3:11

Isabella has $33.

We can make a proportion to solve for how much money Shane has.
A proportion is two ratios that are set equal to each other.

Let’s call Shane’s money ‘S’

We get this proportion: 3/11 = 33/x

If we cross multiply we get:
(33) * (11) = (3) * (x)

Simplifying it, we get:
363 = (3) * (x)

Divide both sides by 3, we get:
x = 121

However, the question asks how much money they have together.

Isabella + Shane = Total
33 + 121 = $154

They have $154 together.

6 0

3 years ago

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PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( ! ILL GIVE 40 POINTS .

RSB [31]

Answer:

x = 5

Step-by-step explanation:

11 = 4x-9

20 = 4x

20/4 = 4x/4

5 = x

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

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Simplify. 3^2+ (9-8/2)

solmaris [256]

Hi there! Hopefully this helps!

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Answer: 14.

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First we calculate 3 to the power of 2 and get 9.

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9 + 9 - $\frac{8}{2}$ = 14.

Now we add 9 + 9 to get 18.

18 - $\frac{8}{2}$ = 14.

Then, we divide 8 by 2 to get 4.

18 - 4 = 14.

Then we subtract 4 from 18 to get.....You guessed it, 14!

3 0

3 years ago

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PLZ help me it's is sooo hard

Andreas93 [3]

I'm not sure for number one, but for number 2 the answer to that one is the second tallest on the chart or on the histogram. For number 3 I'm not sure because i cant see the numbers there too blurry. I'm sorry but i hope i got the second one correct.

3 0

2 years ago