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Step2247 [10]
3 years ago
11

) Would you rather receive $1,500 a year for 12 years, or $1,200 a year for 20 years if the interest rate is 7%?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0

Answer:

$1200 should receive.

Step-by-step explanation:

To check whether to receive $1500 or $1200 just find the present values of each amount.

Present value of annuity $1500:

Present value of annuity = Annuity (P/A, 7%, 12)

Present value of annuity = 1500 (P/A, 7%, 12)

Present value of annuity = 1500 (7.9426)

Present value of annuity = $11913.9

Present value of annuity $1200:

Present value of annuity = Annuity (P/A, 7%, 20)

Present value of annuity = 1500 (P/A, 7%, 20)

Present value of annuity = 1500 (10.5940)

Present value of annuity = $15891

Thus, $1200 should receive.

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What value of a satisfies the following equation?<br><br> -2(a + 3) = -4a + 32
Yanka [14]

Answer:

a = 19

Step-by-step explanation:

-2(a + 3) = -4a + 32

-2a - 6 = -4a +32

<u> +2a        +2a       </u>

-6 = -2a + 32

<u>-32         -32</u>

-38 = -2a

divide by -2

<u><em>a = 19</em></u>

5 0
3 years ago
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How to find x and y I dont understand
lesantik [10]
68= 4x-2+30 (notice they are vertical angles)
68= 4x+28
40=4x
10=x

68+y= 180 (forms a straight angle)
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3 years ago
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The number of wolves in a wildlife preserve is estimated to have increased continually by 3% per year. If the population is now
34kurt
For the answer to the question above, <span>Well, first let us put up a functional equation. </span>
<span>Since this is an exponential function, it'll be: f(t)=54,000*1.03^t </span>
<span>But we want to know how many wolves there were 10 years ago. </span>
<span>For that, we simply "turn time around", as in: f(t)=54,00*1.03^-t </span>
<span>This displays a decreasing number of wolves, as you turn back time. </span>

<span>Now we simply calculate 54,000*1.03^-10 </span>
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5 0
3 years ago
Anyone know how to do this?! Help!
Paraphin [41]

Given:

Vertical angles.

One angle is 85°.

To find:

The measure of ∠1, ∠2 and ∠3.

Solution:

∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.

Vertical angle theorem:

If two lines are intersecting, then the vertically opposite angles are congruent.

⇒ m∠2 = 85°

Sum of the adjacent angles in a straight line = 180°

m∠2 + m∠3 = 180°

85° + m∠3 = 180°

Subtract 85° from both sides.

85° + m∠3 - 85° = 180° - 85°

m∠3 = 95°

By vertical angle theorem:

⇒ m∠1 = m∠3

⇒ m∠1 = 95°

Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.

3 0
3 years ago
PLEASE HELP 80 POINTS ALGEBRA 2
Romashka [77]

I do belive i did my math correct and I n.v should be the top one

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