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Serjik [45]
3 years ago
10

The basic equation for calculating compound interest is A=P(1+r/n)^(nt). If $2,200 is invested at an interest rate of 5% per yea

r, Compound quarterly, how much will the investment be worth at the end of 8 years
Mathematics
1 answer:
nalin [4]3 years ago
8 0
A=2,200×(1+0.05÷4)^(4×8)
A=3,273.89
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The high school took two field trips to the Newport Aquarium many many years ago. They used school buses and vans to transport a
il63 [147K]

Answer:

bus = 43

van 12

Step-by-step explanation:

This can be solved using simultaneous equations

Let v represent the number of students that a van carries

Let b represent the number of students that a bus carries

the following equations can be derived from the question

3v + 2b = 122 eqn 1

5v + 3b = 189  eqn 2

Multiply eqn 1 by 5 and eqn 2 by 3

15v + 10b = 610  eqn 3

15v + 9b = 567 eqn 4

Subtract equation 4 from 3

b = 43

Substitute for b in equation 1

3v + 2(43) = 122

solve for v

v = 12

5 0
2 years ago
If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

3 0
3 years ago
A six-sided dice is thrown once
g100num [7]
A : 1/6 is the answer hope it helps
8 0
3 years ago
Read 2 more answers
What is the y intercept of the line -4x + 6y = -12?
snow_lady [41]
  -4x + 6y = -12
-4(0) + 6y = -12
     0 + 6y = 12
           <u>6y</u> = <u>12</u> 
            6      6
             y = 2

The y-intercept of the equation is 2.
6 0
3 years ago
An 80 confidence interval for is found to be (200, 240). what is the margin of error
Bogdan [553]

Answer:

It’s 20

Step-by-step explanation:

8 0
3 years ago
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