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Sonja [21]
3 years ago
12

4) Cody invests $2,733 in a retirement

Mathematics
1 answer:
sasho [114]3 years ago
8 0

Answer:

t = 14 years

Step-by-step explanation:

r = R/100

r = 9/100

r = 0.09 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.09/12)] )

t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.0075)] )

t = 14 years

Summary:

The time required to get a total amount of $9,589.78 with compoundeded interest on a principal of $2,733.00 at an interest rate of 9% per year and compounded 12 times per year is 14 years.

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80 students took a math test. If 44 students passed the test. What percent passed?
leva [86]

Answer: 55% of the students passed the math test

Step-by-step explanation: The fraction \frac{44}{80} represents the number of students who passed the math test out of all the students that took the test.

To find out what percent of the students that took the math test passed, we can turn the fraction \frac{44}{80} into a percent.

To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. So to write \frac{44}{80} as a percent, we need to find a fraction that is equivalent to \frac{44}{80} with a 100 in the denominator. We can do this by setting up a proportion.

\frac{44}{80} = \frac{n}{100}

Now, we can use cross products to find the missing value.

4,400 = 80n

÷80      ÷80

    55 = n

Therefore, 55% of the students that took the math test passed it. This should make sense because 40/80 would be half and 44 students is only a little over 50%.

4 0
3 years ago
Pls help, and explain. Will give brainliest
malfutka [58]

Cost of 12 notebooks = $9

Ratio of number of notebooks to its price

= 12:9

= 4:3 <em>(because we reduced it to the simplest form by dividing both numerator and denominator by 3)</em>

Let the cost of 8 notebooks be x.

Then, 8:x = 4:3

=> 8/x = 4/3

=> (8×3)/4 = x

=> 24/4 = x

=> 6 = x

So, the cost of 8 notebooks is $6.

8 0
3 years ago
Read 2 more answers
Mrs. Jackson bought 2/3 pound of bananas at $.51 per pound, 1 1/4 pounds of peaches for $2.00 per pound, 1/2 gallon of orange ju
Aleks04 [339]

Answer:

$11.47

Step-by-step explanation:

In order to calculate Mrs.Jackson's total we first need to turn the fractions into decimals by simply dividing the numerator by the denominators like so...

2/3 = 0.66

1 1/4 = 1.25

1/2 = 0.50

Now we need to multiply each products cost by the amount they bought in decimal form, then finally add them all together...

($0.51 * 0.66) + ($2 * 1.25) + ($4.50 * 0.50) + ($3.19 * 2) = x

0.34 + 2.5 + 2.25 + 6.38 = x

$11.47 = x

Finally, we can see that Mrs. Jackson's total was $11.47

6 0
3 years ago
Read 2 more answers
We are stuck on this problem.
mezya [45]

Answer:

The measure of angle BED is 78°

Step-by-step explanation:

Hopefully you can see what I did there.

6 0
3 years ago
Find x on this special right triangle
Vinil7 [7]

Answer:

x=9.79

Step-by-step explanation:

firstly find the hypotenuse of the first triangle

sin45=12/h

sin45h/sin45=12/sin 45

h=16.9

after finding the hypotenuse you can then use it to find x by using tan

tan60=16.9/x

tan60x/tan60=16.9/tan60

x=9.79

I hope this helps!!

3 0
3 years ago
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