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Tomtit [17]
3 years ago
5

An amount of $19,000 is borrowed for 6 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of t

hat period, how much must be paid back? Use the calculator provided and round your answer to the nearest dollar.
Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0
The multiplier for increasing by 7.25% is 1.0725. To get our answer we times the price by the multiplier to the power of the amount of years:

19,000 x 1.0725⁶   ( it's to the power of 6 because of the six years)
= 28,915.94
= $28,916 (to the nearest dollar)

So if the loan is to be paid in full the $28,916 (to the nearest dollar) must be paid back.
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Find the equation of the sphere passing through pleft parenthesis negative 4 comma 7 comma 6 right parenthesis(−4, 7, 6) and qle
Oksi-84 [34.3K]

The equation of a sphere is:

(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2

where h, k and l are the coordinates of the center of the sphere

 

Using the midpoint formula, the coordinate of the center is:

h = (-4 + 6) / 2 = 1

k = (7 + -5) / 2 = 1

l = (6 + 7) / 2 = 6.5

 

so the equation becomes:

(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2

 

we plug in any point, in this case point P to solve for r:

(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2

r^2 = 61.25

 

So the full equation is:

<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>

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3 years ago
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Which of the following numbers is closest to 7?
Sphinxa [80]

Answer:

B. √50

Step-by-step explanation:

7^{2} is 49 so √49 is 7

So,

since the <u>closest number to 49 is 50</u>, that is the answer.

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KIM [24]

9514 1404 393

Answer:

  2. D

  3. B

  4. D

  5. A

Step-by-step explanation:

2. Write the ratio using the given words, then fill in the corresponding numbers. Factor out the greatest common factor.*

  soccer players : volleyball players = 84 : 36 = 12·7 : 12·3 = 7 : 3

__

3. The <em>angle bisector</em> has angle marks on either side of it. The only angle marks are at angle G, where GL is the bisector.

__

4. The <em>median</em> is drawn from a vertex to the midpoint of the opposite side. The only side with a midpoint marked is IG with midpoint J. The median is HJ.

__

5. An altitude is drawn from a vertex to the opposite side, where it meets at right angles. Two right angles are shown: at J and at K. The perpendicular line at J does not meet any vertex. The perpendicular line at K meets vertex I, so KI is the altitude.

_____

* For larger numbers, or ones whose factors you aren't familiar with, it can be useful to know Euclid's method for finding the greatest common factor (GCF). Divide the larger number by the smaller and keep the remainder. If the remainder is 0, the smaller is the GCF. If not, replace the larger number with the remainder and repeat.

Here, that looks like ...

  84 / 36 = 2 r 12

  36 / 12 = 3 r 0 . . . . . 12 is the GCF

4 0
3 years ago
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