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larisa86 [58]
3 years ago
11

Could someone help me with both of these questions? thank you!!

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Angle e corresponds to angle b

x equals 11

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An investment company pays 8​% compounded semiannually. You want to have $12,000 in the future. (A) How much should you deposit
Leno4ka [110]
Before we start answering the question, let's define the compound interest formula:
A = P(1+ \frac{r}{n}) ^{nt}
Where:
<span>'A'</span>  is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

<span>(A) Find Principal Amount
</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}
12,000 = P(1.04) ^{10}
P = 8106.77
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5. 
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}
12,000 = P(1.04) ^{20}
P = 5476.64
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!
4 0
3 years ago
GEOMETRY. PLEASE HELP. I'M STUMPED!!!
tatiyna
Given the triangles ABC and PQR.
Angle A = Angle P
Angle B = Angle Q
Angle C = Angle R

Angle B = 3v+4
Angle Q = 8v-6
Let's find v

3v+4 = 8v-6
-5v = -10
v = 2

Angle B = 3v + 4
Angle B = 3(2) + 4
Angle B = 10.

The correct answer is letter C. 10


8 0
3 years ago
How can credit cards be safer than cash? a. It is harder to lose a single credit card than a large number of bills. b. A credit
konstantin123 [22]

Answer: Due to its anonymous nature, if you lose your cash, it's gone. Payment cards can be cancelled and replaced swiftly and remotely. Whilst cash may offer you complete anonymity from data thieves, EMV chip enabled cards offer a more thorough form of payment authentication, providing an extra layer of payment security

So, therefore, C.

3 0
3 years ago
Which of the following products is greater than 6. A: 6×2/3. B: 6× 1/3. C: 6× 1 1/6. D: 6× 1/2 Don't mind all random work
Colt1911 [192]

Answer:

C. 6×11/6

Step-by-step explanation:

Because 11/6 is greater than 1, if you were to multiply it by 6, you would get a product greater than 6.

3 0
3 years ago
What is the value of x in the following equation?<br><br> 5x−13=15+7x
Alex787 [66]
5x-13=15+7x
-13=15+2x
-28=2x
-14=x
7 0
2 years ago
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