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Lorico [155]
3 years ago
12

If $6700 is invested at 4.6% interest compounded semiannually, how much will the investment be worth in 15 years?

Mathematics
2 answers:
elena-s [515]3 years ago
7 0

Answer:

13,253.90

Step-by-step explanation:

did test

aalyn [17]3 years ago
5 0
A=p(1+i/m)^mn
A=6,700×(1+0.046÷2)^(2×15)
A=13,253.90
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sergejj [24]

Answer:

Correct

Step-by-step explanation:

When you type 1/3 into a calculator it should give you something along the lines of .333333334. If you continue to round, eventually you will get 1.

7 0
3 years ago
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The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Wri
emmainna [20.7K]

Answer:

a. i. x + y = 180  (1) and  x - 4y = 5   (2)

ii. The two acute angles are 35° each and the two obtuse angles are 145° each.

Step-by-step explanation:

a. The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.

i. Write a system of equations to find the measures of all the angles.

Let x be the obtuse angles and y be the acute angles.

Since we have two obtuse angles at the top of the isosceles trapezoid and two acute angles at the bottom of the isosceles trapezoid, and also, since the sum of angles in a quadrilateral is 360, we have

2x + 2y = 360

x + y = 180  (1)

Its is also given that the measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles.

So, x = 4y + 5   (2)

x - 4y = 5   (2)

So, our system of equations are

x + y = 180  (1) and  x - 4y = 5   (2)

ii. Solve a system of equations to find the measures of all the angles.

Since

x + y = 180  (1) and  x - 4y = 5   (2)

Subtracting (2) from (1), we have

x + y = 180  (1)

-

x - 4y = 5   (2)

5y = 175

dividing both sides by 5, we have

y = 175/5

y = 35°

From (1), x = 180° - y = 180° - 35° = 145°

So, the two acute angles are 35° each and the two obtuse angles are 145° each.

4 0
3 years ago
(9,-1); m=4/3 write an equation in point slope form for the line through the given point with the given slope
madreJ [45]
For this problem you are going to need to know the point-slope equation which is: 
y-y₁=m(x-x₁)

Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.

It should look like this: y+1= \frac{4}{3}(x-9)
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3 years ago
Jerry King is a server in a restaurant that pays a salary of $43 per day. He also averages tips of 18% of his total gross food o
tatyana61 [14]

Answer:

His total gross pay for the week is $588.25.

Step-by-step explanation:

Consider the provided information.

Jarry has a salary of $43 per day and he worked for 4 days.

Thus, the salary of 4 days is:

4 × $43= $172

The average tips is 18% of his total gross food orders.

Last week he had total food orders of $2,312.5. Therefore, the total tips he received is:

2312.5 \times(\frac{18}{100})

2312.5 \times(0.18)

416.25

Total tips he received is $416.25.

His total gross pay for the week = The salary of 4 days + Total tips he received.

His total gross pay for the week = $172 + $416.25

His total gross pay for the week = $588.25

Hence, his total gross pay for the week is $588.25.

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3 years ago
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