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Anarel [89]
3 years ago
14

You invest $25/month at a rate of 3.25% APR compounded monthly for 30 years. What is the total interest earned and final balance

?
Mathematics
1 answer:
VikaD [51]3 years ago
7 0

The total interest earned is 40.75 and the final balance is 65.75

<u>Solution:</u>

Given, principle amount P = 25

Interest rate r = 3.25\% = \frac{3.25}{100} = 0.0325

Times compounded per year n = 12

Time in years t = 30

Amount \ A=P\left(1+\frac{r}{n}\right)^{n t}

On substituting the values we get

A = 25 [ 1+ \frac{0.0325}{12}]^{12\times30}= 25 [2.63]= 65.75

Interest I = A - P [since, A = P+I]

\Rightarrow 65.75 - 25= 40.75

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I need help <br> 22 points to whoever helps me
Olenka [21]

Answer:

12 3/4 same slope fro both

13 DE = 5, CB = 10

14 see below

Step-by-step explanation:

12.  the slopes are the same

D(0, 3)  E(4, 6) slope is (change in y)/(change in x)

   change in y = 3 to 6 is a change of +3

   Change in x = 0 to 4 is a change of +4

slope is 3/4

13  To fine lengths you can distance formula or Pythagorean theorem (spoiler: they are related to each other)  

DE² = 3² + 4²

DE² = 9 + 12

DE² =  25

√DE² = √25 = 5

DE = 5

and

CB² = 6² + 8²

CB² = 36 + 64

CB² = 100

√CB² = √100 = 10

CB = 10

14.   since the slopes are the same are DE is 1/2 or CB its is the mid segment.  because (taken from mathopenref.com/trianglemidsegment.html)

The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.

The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.

A triangle has three possible midsegments, depending on which pair of sides is initially joined.

6 0
3 years ago
A construction company wants to build an auditorium on a trapezium shaped plot measuring 410m2. One of the parallel sides of the
Assoli18 [71]

Answer:

other parallel side is 23m

Step-by-step explanation:

Let's assume other parallel sides as 'x'

One of the parallel sides of the trapezium plot measure 18m

so, y=18

distance between the two parallel sides measure 20m

so, h=20

now, we can use area of trapezium formula

A=\frac{1}{2}\times h \times (x+y)

now, we can plug values

A=\frac{1}{2}\times 20 \times (x+18)

we can set A=410

and then we can solve for x

410=\frac{1}{2}\times 20 \times (x+18)

10\left(x+18\right)=410

x+18=41

x=23


6 0
3 years ago
I WILL GIVE BRAINLIEST to who answers this question right
nydimaria [60]

Answer:

  41 2/3 feet

Step-by-step explanation:

The sum of wall lengths (in feet) is ...

  (12 1/4) + (10) + (12 1/4) + (10 -2 5/6)

  = (12 + 10 + 12 + 8) + (1/4 + 1/4 - 5/6)

  = 42 + (3/12 + 3/12 -10/12)

  = 42 - 4/12 = 42 - 1/3

  = 41 2/3 . . . feet

7 0
3 years ago
Question 9: You have 2/3 of a pumpkin pie left over from Thanksgiving. You want to give 1/2 of it to your sister. How
Sophie [7]

Answer:

1/3

Step-by-step explanation:

1/2 of 2/3 = 1/3

5 0
3 years ago
Simplify 3 x (7 - 2) + 6
erastovalidia [21]

Answer: 1

Step-by-step explanation:

8/-4 ÷ -3/9

8/-4 × 9/ -3 = 6

5 0
2 years ago
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