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1 year ago

Aperson invest 10,000 shillings for 40 months compounded monthly. Find the accumulated amount If the rate is 5% per annum.

Mathematics

1 answer:

yanalaym [24]1 year ago

4 0

monthly interest rate is : $\sqrt[12]{1.05}$

So in forty month there will be : 10 000 * ( $\sqrt[12]{1.05}$ )^40 ≈11 776,06

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Solve for x: −1 < x + 3 < 5

Gnesinka [82]

Answer:

-4<x<2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ÷)

7 0

2 years ago

Alan bought two bikes. He sold one to Beth for $300 taking a 25% loss. He also sold one to Greta for $300 making a 25% profit. D

Mashutka [201]

No Alan did not break even

Alan incured a loss of 6.25 %

<em><u>Solution:</u></em>

Given that,

Alan bought two bikes

He sold one to Beth for $300 taking a 25% loss

He also sold one to Greta for $300 making a 25% profit

When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss

Which is given as:

$loss\ \% = (\frac{x}{10})^2$

Here, x = 25

$loss\ \% = (\frac{25}{10})^2\\\\loss\ \% = 2.5^2\\\\loss\ \% = 6.25$

Thus the loss percentage is 6.25 %

8 0

2 years ago

a student must have an average on five test that is greater than it equal to 80% but less than 90% to receive a final grade of B

Bad White [126]

Answer:

89–100

Step-by-step explanation:

Let x represent the grade on the fifth test. The average for 5 tests wants to be between 80 and 90, so we have ...

80 ≤ (78 +62 +91 +80 +x)/5 ≤ 90

Multiplying by 5 gives

400 ≤ 311 +x ≤ 450

Subtracting 311 gives the range for the fifth test grade.

89 ≤ x ≤ 139

Since the maximum available score is 100, the range on the 5th test for an overall B grade is ...

89 ≤ x ≤ 100 . . . . where x is the grade on the 5th test

6 0

3 years ago

Answer question (picture below) and show work please

antiseptic1488 [7]

Answer:

$A(x)=7x^2-2x+10$

Step-by-step explanation:

Long Division

The polynomial long division implies the sequential division of each term of the dividend polynomial by the terms of the divisor polynomial. The procedure is a well-know sequence of steps from which there are two outputs: the quotient and the remainder.

We have two mathematical models, one for the total number of visitors who went to a theme park:

$F(x)=126x^3+279x^2+90x+450$

The other for the number of shows played at the theme park in the same period

$G(x)=18x+45$

Where x is the number of days since October 1. We are required to find the expression for the average number of visitors per show. It comes by dividing F(x) by G(x). We must perform a long division as shown below.

The average number of visitors per show is

$A(x)=7x^2-2x+10$

For example, day 5

$A(5)=7\ 5^2-2(5)+10=175$