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shusha [124]
3 years ago
10

A woman has a total of $ 13 , 000 to invest. She invests part of the money in an account that pays 10 % per year and the rest in

an account that pays 11 % per year. If the interest earned in the first year is $ 1340 , how much did she invest in each account?
Mathematics
1 answer:
spayn [35]3 years ago
5 0

Answer:

5678

Step-by-step explanation:

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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded
Crank

Answer:

A=81(\pi-1)\ in^2

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

A=\pi r^{2}

we have

r=18/2=9\ in ---> the radius is half the diameter

substitute

A=\pi (9)^{2}\\A=81\pi\ in^2

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

D^2=2b^2

where

b is the length side of the square

we have

D=18\ in

substitute

18^2=2b^2

solve for b^2

b^2=162\ in^2 -----> is the area of the square

Divide by 2

162/2=81\ in^2

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The  area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

so

A=(81\pi-81)\ in^2

simplify

A=81(\pi-1)\ in^2

8 0
3 years ago
Mrs. Connors went to the shopping mall and spent 3/5 of the money she had in her wallet at the department store. She bought new
Katen [24]
She spent 115 dollars on the pots and pans
7 0
4 years ago
There are four nickels and six dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then
Anna71 [15]
The probability of picking a nickel first would be: 4/10
The probability of picking a dime first would be: 6/10
4 0
3 years ago
How much would $150 invested at 8% interest compounded continuously be worth after 17 years
Umnica [9.8K]

Answer:

Approximately $584.43

Step-by-step explanation:

Your formula is A=Pe^rt

A is what you're looking for, the amount

P is the principal aka what you put into the account: $150

e is the mathematical constant. You'd plug that into your calculator.

r is the rate, you'd put it into the equation as a decimal: 8%=.08

t is the time in years: 17

A=150e^.08x17 <em>you can plug this into your calculator</em>

A=$584.43

7 0
3 years ago
What are all real numbers
vredina [299]

The type of number we normally use, such as 1, 15.82, −0.1, 3/4, etc.

Positive or negative, large or small, whole numbers or decimal numbers are all Real Numbers.

They are called "Real Numbers" because they are not Imaginary Numbers.

4 0
3 years ago
Read 2 more answers
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