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3 years ago

Find the area of the figure Please help :)

Mathematics

1 answer:

Aleks [24]3 years ago

7 0

9514 1404 393

Answer:

66.5 cm²

Step-by-step explanation:

A horizontal line at the "knee" on the right will divide the figure into a 4 cm by 2 cm rectangle, and a trapezoid with bases 4 cm and 9 cm, and height 11-2 = 9 cm. Then the total area of the figure is ...

A = LW + 1/2(b1 +b2)h

A = (4 cm)(2 cm) + (1/2)(4 cm +9 cm)(9 cm) = 8 cm² +58.5 cm²

A = 66.5 cm² . . . . area of the figure

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A promissory note for $3600.00 dated May 15, 2012, requires an interest payment of $370.00 at maturity. If interest is at 9.6% c

vladimir1956 [14]

The due date of the promissory note is May 24th 2013.

Data;

Present Value (PV) = $3600
Interest = $370
Future Value (FV) = PV + I = $3600 + $370 = $3970

To calculate the due date of the note, we can use the formula of future value of the note.

$FV = PV (1 + \frac{r}{n})^d\\ 3970 = 3600 (1 + \frac{9.6}{12})^d\\3970 = 3600(1+0.008)^d\\\frac{3970}{3600} =(1.008)^n$

Let's take the natural log of both sides

$(1.008)^n = (\frac{3970}{3600})\\ n\ln(1.008) = \ln(\frac{397}{360})\\ n = 12.28$

This is approximately 12 months and 9 days.

The due date of the promissory note is May 24th 2013.

Learn more on promissory note here;

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7 0

2 years ago

A car dealer will sell you a used car for $6,498 with $798 down and payments of $162.51 per month for 48 months. what is the int

Mkey [24]

Answer:

Interest rate is 1.4% and APR is 16.8%.

Step-by-step explanation:

Given,

The original cost of the car = $ 6,498,

Down payment = $ 798,

So, the present value of loan, P.V. = original cost - down payment

= $ 6,498 - $ 798 = $ 5700,

Now, the monthly payment, P = $ 162.51,

Number of months, n = 48,

Let r be the monthly interest rate,

Since, monthly payment formula of a loan,

$P=\frac{PV(r)}{1-(1+r)^{-n}}$

$162.51=\frac{5700r}{1-(1+r)^{-48}}$

By graphing calculator,

$r=0.014= 1.4\%$

Hence, interest rate = 1.4%,

And, APR = 12 × 1.4% = 16.8%.

4 0

3 years ago

What is the answer to this i need help

ElenaW [278]

Answer:

Step-by-step explanation:

5 0

3 years ago

Find the solution of 2x+2y=10 and x=5y+20

Sever21 [200]

Answer:

(15/2, -5/2)

Step-by-step explanation:

1. Sub x=5y+20 into 2x+2y=10 and simplify as shown below.

2(5y+20)+2y=10

10y+40+2y=10

12y+40=10

12y=-30

y=-30/12

y=-5/2

2. Sub in y=-5/2 into 2x+2y=10 to find x and simplify as shown below.

2x+2(-5/2)=10

2x-5=10

2x=15

x=15/2

8 0

3 years ago

A spinner is separated into 5 equal pieces, as shown below: patrick spins the spinner 9 times. what is the theoretical probabili

DerKrebs [107]

To solve this problem, let us first define what probability means in this case. It would be:

Probability = (number of colors to choose from) / (total number of colors)

There are a total of 5 colors on the spinner. The number of colors to choose from spins 1 to 8 would be 5 out of 5, while for the last spin 9 the number of colors to choose from would only be brown so that would be 1 out of 5. The total probability would be the product of the probability of each spins, therefore:

<span>Probability = 1st spin * 2nd spin * 3rd spin * 4th spin * 5th spin * 6th spin * 7th spin * 8th spin * 9th spin</span>

Probability = (5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5) * (1/5)

Probability = 0.2

<span>There is a 20% chance to get brown on the last spin.</span>

6 0

3 years ago

Read 2 more answers