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3 years ago

Given an exponential function for compounding interest, A(x) = P(1.03)x, what is the rate of change?

Mathematics

2 answers:

Phantasy [73]3 years ago

8 0

Answer: 3%

Step-by-step explanation:

We know that the compound amount after x years will be given by the exponential function as:-

$A(x)=P(1+r)^x$ , where r is the rate of interest in decimal.

The given exponential function for compounding interest is $A(x)=P(1.03)^x$ which can be written as

$A(x)=P(1+0.03)^x$

On comparing the equation to the standard form , we get the rate of interest =0.03

In percent the rate of interest r = $0.03\times100=3\%$

makvit [3.9K]3 years ago

7 0

0.03*100=3%
Hope it helps :-)

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A rectangular field is 125 meters long and 75 meters wide. Give the length and width of another rectangular field that has the s

mario62 [17]

Answer:

150 m and 50 m

Step-by-step explanation:

l= 125 m

w= 75 m

P= 2(125+75)= 400 m

A= 125*75= 9375 m²

l1= 125+25= 150 m

w1= 75-25= 50 m

A1= 150*50= 7500 m² smaller area with same perimeter

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3 years ago

By ordering the data find the Lower Quartile<br> 5, 7, 4, 3, 2, 6, 8, 9, 10, 15 *

Klio2033 [76]

Answer:

.Lower quartile = 3.5

Step-by-step explanation:

Rearranging the data from lowest to highest.

2, 3, 4, 5, 6, 7, 8, 9 , 10, 15

First finding the median to make it easier to find the lower quartile.

median : 6 and 7 but right now they're irrelevant so we don't honestly need to work that out.

The lower quartile would be 3 and 4

3+4= 7 divide by 2 = 3.5 is your lower quartile

8 0

3 years ago

#9 please help<br><br> I’ll give brainlylist in return

9966 [12]

Factored form: (-x-4) (x-6)
Standard form: y= −x^2 + 2x + 24
Zeros: -4, 6

5 0

3 years ago

Begin by clearly stating the problem; you can copy this from the problem set file. Show how you solved the problem step by step,

Y_Kistochka [10]

Answer: 13%

Step-by-step explanation:

The formula to find the simple interest is given by :-

$I=Prt$ , where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).

Given : P = $19,100 , I=$9932.00 and t= 4 years

Substitute all the above values in the formula , we get

$9932.00=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow r=\dfrac{13}{100}=0.13$

In percent , $r=0.13\times100=13\%$

Hence, the rate of interest = 13%

6 0

3 years ago

(x-5y,-3):(1,3y-x) find value of x and y<br>Please help me to solve thiss!!

11Alexandr11 [23.1K]

Answer:

x=11, y=2

Step-by-step explanation:

We can set 1 equal to x-5y and then solve for x. and y.

x = 5y+1

y = x-1/5

We can use this information and plug back in the values for 3y-x or x-5y.

We can set -3 = 3y-x or 1 = x-5y.

To solve for x using -3 = 3y-x we can swap the values of x and y which would make it -3 = 3(x-1/5)-5(x-1/5)+1.

We can do a bit of algebra which would get us x = 11.

Knowing that y = x-1/5 we can plug in 11 for x. y = 11-1/5.

y=2

x=11, y=2

3 0

2 years ago