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Pie
3 years ago
7

Nathan is going to invest in an account paying an interest rate of 1.9% compounded continuously. How much would Nathan need to i

nvest, to the nearest dollar, for the value of the account to reach $280 in 12 years?
Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer:

223 (rounded to closest one) actual answer would be 222.91479275

Step-by-step explanation:

use formula A=Pe^nt

$280 = Pe^0.019(12)

$280 = Pe^0.228, then evaluate the solution by isolating the variable and dividing each side by the factors which don't contain the variable.

P = 222.91479275

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Which of the following is equivalent to 2 ln e^ln 5x = 2 ln 15?
neonofarm [45]

Answer:

x  = 3

Step-by-step explanation:

Given in the question an equation,

2lne^{ln5x}=2ln15

Step 1

e^{lnx}=x

so,

2ln(5x)=2ln15

Step 2

cancel 2 on both sides of the equation

ln{5x}=ln15

Step 3

ln{5x}-ln15=0

ln\frac{5x}{15}=0

Step 4

ln\frac{x}{3}=0

Step 5

e^{ln\frac{x}{3}}=e^{0}

Step 6

x/3 = 1

x = 3(1)

x = 3

8 0
3 years ago
Simplify the expression.<br> 11(32 + 5x) + 4x - x
alex41 [277]

Answer:

352+58x

Step-by-step explanation:

Distribute to get 352+55x+4x-x

Combine like terms to get 352+58x.

3 0
3 years ago
Read 2 more answers
The pizza shop owner tells Mr. Lopez that 3 jumbo cookies can feed 10 students.
givi [52]

Answer:

j(x) = [ (3/10) cookie/student ]x

Step-by-step explanation:

The "unit rate" here is  

3 jumbo cookies

------------------------- = (3/10) cookie/student

       10 students

Then the number of cookies needed to feed x students is

j(x) = [ (3/10) cookie/student ]x

5 0
3 years ago
Need asap<br>if x=12 what is the value of p in this equation? p=<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B
yarga [219]
The answer to the equation is 65
5 0
3 years ago
Find x and round to the nearest tenth:)
Thepotemich [5.8K]

Answer:

x = 31.8°

Step-by-step explanation:

Applying the Law of Sines, we have:

\frac{sin(x)}{12} = \frac{sin(75)}{22}

Multiply both sides by 12

\frac{sin(x)}{12} \times 12 = \frac{sin(75)}{22} \times 12

sin(x) = \frac{sin(75) \times 12}{22}

sin(x) = 0.5269

x = sin^{-1}(0.5269)

x = 31.8° (nearest tenth)

8 0
3 years ago
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