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Blababa [14]
3 years ago
8

an initial deposit of $200 is made into an account that pays 4.2% annual interest. What is a model to represent the balance in t

he account after x years?
Mathematics
1 answer:
Sholpan [36]3 years ago
5 0
You would use the equation y = A(1+r)^t 

A = Original amount = 200
r = interest rate = 0.042 (when converted from percent to decimal)
t = time = x 

Plug them in and you get the model: y = 200(1+0.042)^x 

or just simplify the parentheses to (1.042)
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John bought a new home in 2002. The value of the home increases 4% each year. If the price of the house is $375,000 in 2020, how
skad [1K]
Using the formula of P(1 + r)^n = x where p represents the initial value, r represents the rate and n represents the number of years and x is our final output. We want to find P so we have to make it the subject of the equation.

1 + 0.04 = 1.04
1.04^18 = 2.025816515
Then divide the total amount by this to get 185,110.5454
Therefore the answer is $185,110.55

Hope this helps! :)
4 0
3 years ago
Solve in attachment....​
olga2289 [7]

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

\displaystyle  \int_{0} ^{1} 5x \sqrt{x} dx

use constant integration rule which yields:

\displaystyle  5\int_{0} ^{1} x \sqrt{x} dx

notice that we can rewrite √x using Law of exponent therefore we obtain:

\displaystyle  5\int_{0} ^{1} x \cdot  {x}^{1/2} dx

once again use law of exponent which yields:

\displaystyle  5\int_{0} ^{1}  {x}^{ \frac{3}{2} } dx

use exponent integration rule which yields;

\displaystyle  5 \left( \frac{{x}^{ \frac{3}{2}  + 1  } }{ \frac{3}{2}  + 1} \right)  \bigg|  _{0} ^{1}

simplify which yields:

\displaystyle  2 {x}^{2}  \sqrt{x}   \bigg|  _{0} ^{1}

recall fundamental theorem:

\displaystyle  2 (  {1}^{2}) (\sqrt{1}  ) - 2( {0}^{2} )( \sqrt{0)}

simplify:

\displaystyle  2

hence

our answer is A

8 0
3 years ago
Read 2 more answers
Y=f(x)=(4)^x find f(x) when x=-1
nexus9112 [7]

when x = -14

f(-1) = 4^-1 = 1 / 4^1 = 1/4

Answer

1/4 or 0.25

4 0
3 years ago
Read 2 more answers
How do I simplify this??
alina1380 [7]
Idk i can't see that, sorry
8 0
3 years ago
Whats 10{3[25-6(22-19)+11]}
katrin2010 [14]
The answer for this equation is 540!
5 0
3 years ago
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