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galben [10]
3 years ago
13

Jake’s bank offers him an account with 3% interest, compounded

Mathematics
1 answer:
defon3 years ago
6 0
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to &\$1320\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, meaning once}
\end{array}\to &1\\

t=years\to &5
\end{cases}

he'll be earning in interest, the difference from A to P, or A - P
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Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum
Nadusha1986 [10]

Alright, lets get started.

Missing number fom the series :  9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

6561^2 = 43046721

It means the missing number will be square of its previous number

Means 9^2 = 81, so missing number is 81.   :    Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, x = 3y + 2  ......equation (1)

Their sum is 22  means,  x+y = 22 .......equation (2)

Putting the value of x from equation1 into equation 2

3y + 2 + y = 22

4y + 2 = 22

Subtracting 2 in both sides

4y + 2 - 2 = 22 - 2

4y = 20

y = 5

x = 22 - y = 22 - 5 = 17

Means numbers are 17 and 5.   : Answer


Next : the missing number in the series 1, 4, 27,____, 3125 is

1 could be written as 1

4 could be written as 2^2

27 could be written as 3^3

So , next number would be 4^4

4^4 = 256

Next one is 5^5 = 3125

So, the missing number is 256   :    Answer


Next : the next number in the series 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12.   : Answer



Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?

Between 2 plants, the distance is = 3 * (2-1) = 3

Between 3 plants, the distance is = 3 * (3-1) = 6

So, between 23 plants, the distance is = 3 * (23-1) = 3 * 22 = 66

hene the distance between first and last plant woule be 66 feet.   :   Answer



7 0
3 years ago
Vill all three students complete a sign at the same time? Explain your
7nadin3 [17]
I think it would be 23 bags without any cookies left over
4 0
2 years ago
According to recent reports, Apple Inc. holds 27.6% of the Tablet Computer market. Suppose a consumer research company believes
KonstantinChe [14]

Answer:

We don't have sufficient evidence to support the claim

Step-by-step explanation:

Null hypothesis:

H_0: p = 0.276

Alternate hypothesis:

H_1: p < 0.276

The P-value is 0.3064

0.3064 probability of finding a sample proportion lower than the one found.

The p-value is higher than the significance level of 0.05, which means that there is no sufficient evidence to support the claim.

5 0
3 years ago
One survey estimates that,on average, the retail value of a mid sized car decreases by8% annually.if the retail value of a car i
Scrat [10]
Percentage by which the average value of mid sized car decreases each year = 8%
Retail value of a car today = v dollars
Amount of decrease in the value of the car after 1 year = (8/100) * v
                                                                                         = 2v/25 dollars
Then
The equation that represents the value of the car after 1 year = v - (2v/25) dollars
                                                                                                   = (25v - 2v)/25 dollars
                                                                                                   = 23v/25 dollars
So following this expression the value of the mid sized car can be easily determined after 1 year. I hope this is the answer you were looking for and the procedure is also clear to you.
5 0
3 years ago
Read 2 more answers
Given the triangle that has a base of five less than triple the height. The height is 2x+6.
Deffense [45]

Answer:

<h3>          A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>

Step-by-step explanation:

H = 2x+6          - the hight

3H = 3(2x+6)      - triple the hight

3H-5 = 3(2x+6) - 5    -  five less than triple the height

Area of triangle:  A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

    A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

    A = 6x² + 49x + 78

5 0
3 years ago
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