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Airida [17]
3 years ago
15

Katie invested a total of ​$4000​, part at 2​% simple interest and part at 3​% simple interest. At the end of 1​ year, the inves

tments had earned ​$90 interest. How much was invested at each​ rate?
Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0

Answer:

$3000

$1000

Step-by-step explanation:

the formula for simple interest = principal x time x interest rate

let the amount invested in the 2% investment be a

let the amount invested in the 3% investment be (4000 - a)

(a x 0.02 x 1) + ([4000 - a] x 0.03 x 1) = $90

0.02a + 120 - 0.03a = 90

Collect like terms and solve for a

0.01a = 30

a = $3000

The amount invested in the 3% investment be (4000 - a)  = $4000 - $3000 = $1000

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Assume that in October of a particular year about 215 billion text messages were sent or received in the US, and the prediction
Julli [10]

Answer:

There will be 243 billion messages sent or received in November.

Step-by-step explanation:

Given.

Number of text messages sent or received =215 billion.

Increment on the very next month =13\%=\frac{13}{100}=0.13

Lets find what is 13\%\ of\ 215

 ⇒13\%\ of\ 215

 ⇒0.13\times 215=27.95

So we will add this value to our previous months data.

Now

Number of text messages sent in the month of November =(27.5+215)=242.95 billion.

Rounding to the nearest tenth the answer will be 243 billion.

So 243 billion text messages were sent or received in November.

5 0
3 years ago
Please explain how to do this, I'm using all my points<br><br>A. 40 L<br>B. 80 L<br>C. 4 L <br>D. 8L
exis [7]

Answer: choice A. 40 liters

====================================

Explanation:

x = number of liters of the 50% alcohol solution

If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).

So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below

0.50*x + 36 = 0.70*(40+x)

0.50*x + 36 = 0.70*(40)+0.70*(x)

0.50*x + 36 = 28+0.70*x

36 - 28 = 0.70*x - 0.50x

8 = 0.20x

0.20x = 8

x = 8/0.20

x = 40

So that is why the answer is choice A. 40 liters

6 0
2 years ago
Easyish PreCalculus; Find the exact values of the six trigonometric functions of the given angle. (you can use a calculator.) (D
Brut [27]

Answer:

there is no given angle here man

Step-by-step explanation:

5 0
3 years ago
using the midpoint formula, solve for the midpoint of the segment with these pairs of endpoints (-8,21) and (32,-2)​
dusya [7]

Answer

(24,9.5) using the midpoint formula

5 0
3 years ago
Read 2 more answers
The school chorus has 52 students which represents 26% of the seventh graders. How many students are in the seventh grade
barxatty [35]

Answer:

There are 200 students in the seventh grade.

Step-by-step explanation:

For equations like these, you have to use the is/of formula, which is:

Percent/100 = is/of.

Since you are trying to find how many students are in the seventh grade, this means that 52 <u><em>is</em></u> 26% of the total amount of students in the seventh grade. So, the formula would look like so:

26/100 = 52/n.

Next, you have to cross multiply, which means you would multiply 26 by n, and 52 by 100.

Then, you are going to have this left over from the cross multiplying:

5200 = 26n.

Divide 26 on both sides, leaving you with:

1n = 200, or n = 200.


8 0
3 years ago
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