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Lynna [10]
3 years ago
8

Find the balance in a $900 interest account after 10 years if the interest rate is 4.62%, compounded annually.

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0
The formula is
A=p (1+r)^t

A future value?
P present value 900
R interest rate 0.0462
T time 10 years

A=900×(1+0.0462)^(10)
A=1,413.81

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HELP QUICK! You must find all intervals<br> where f(x) is negative. <br> f(x)=2(x+3)(x-7)
beks73 [17]

Answer:

any # where -2<=x<7

Step-by-step explanation:

(x-7) would be negative and (x+3) positive, resulting in f(x) being negative.

4 0
2 years ago
Which number line shows point A at 3, point B at −1.5, point C at , and point D, which is the opposite of point A?
Oduvanchick [21]

Step-by-step explanation:

We have that point A is at 3.

This is 3 units to the right of 0 on the number line.

The point that is opposite of A should be 3 units to the left of 0.

That point will be at -3.

Therefore you have to choose the point that is on -3.

It should be similar to one in the attachment.

6 0
3 years ago
A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos
vova2212 [387]

Answer:

  36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

  w(52 -w) = 576

  w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

  w² -52w +26² = 26² -576 . . . . . .  complete the square

  (w -26)² = 676 -576 = 100

  w = 26 ±√100 =  {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

5 0
3 years ago
The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as
lesya692 [45]

Answer:

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

       Circumference of circle (C)  =  2\pi r   {where r is radius of circle}

                                                      =  2 \times \pi \times 8   {given r = 8 inches long}

                                                      =  16 \pi

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents  \frac{25}{60}  which is  \frac{5 }{12}  of the circumference, that means;

The length of arc from time 12:00 to 12:25  =  \frac{5}{12}\times \text {Circumference of circle}

                                                                       =  \frac{5}{12} \times 16 \pi

                                                                       =  \frac{20}{3} \pi = 6.67\pi

Now, assuming value of \pi = 3.14; so 6.67\pi =  6.67 \times 3.14 = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.

5 0
3 years ago
Can someone please help me? Will give the brainlest!!
SCORPION-xisa [38]

Step-by-step explanation:

The ratio of the perimeters = the scale

P₂ / P₁ = 6 / 4 = 3 / 2

The ratio of the areas = the square of the scale

A₂ / A₁ = (6 / 4)² = (3 / 2)² = 9 / 4

Same for the triangles:

P₂ / P₁ = 6 / 3 = 2

A₂ / A₁ = (6 / 3)² = (2)² = 4

5 0
3 years ago
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