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2 years ago

I have to find the length of the angle indicated for the trapezoid

Mathematics

1 answer:

Stels [109]2 years ago

6 0

That is not a trapezoid, it is a general quadrilateral. All 2-dimensional, 4-sided figures have an internal angle sum of 360 (triangles are 180). So if you assume angles P and Q are right, they are each equal to 90 degrees, for a total of 180.
Subtract: 360 - 180 = 180. We know that S + R must equal 180. If you subtract 180 - 65, you get 115, which is obtuse (greater than 90 degrees). This matches the drawing as the unknown angle is clearly greater than 90. So the answer is 115 degrees.

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You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,

babymother [125]

Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

$EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}$

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

$EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}$

$EMI=605.11$

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

$EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}$

$EMI=203.27$

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

= $291,016.80

Hence, The total amount of the mortgage is $291,016.80

3 0

2 years ago

A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of

const2013 [10]

Answer:

2/13

Step-by-step explanation:

add them all up then divide by the yellow

3 0

2 years ago

What is the GCF of 11ab + 32ab ?

Diano4ka-milaya [45]

The GCF is of 11ab +32ab is 43ab

6 0

3 years ago

Pls I need help with his math problem

Leno4ka [110]

Answer:

a) P = 0.08s +200

b) $488

c) $6250

Step-by-step explanation:

Your answer is correct. The commission rate is multiplied by the sales amount, and that product is added to the guaranteed pay to get the paycheck amount:

P = 0.08s +200

Fill in 3600 for s and do the arithmetic.

P = 0.08×3600 +200 = 288 +200 = 488

The paycheck amount will be $488.

Use the equation for part (a) and solve for P = 700.

700 = 0.08s +200

500 = 0.08s . . . . . . subtract 200

500/0.08 = s = 6250 . . . dollars; divide by the coefficient of s to get this

Sales would have to be $6250.

8 0

2 years ago

Use the compound interest formula to determine the final value of the following amount. $1900 at 10.4% compounded monthly for 4.

nikklg [1K]

Answer:

$3027.80

Explanation:

The compound interest formula is the following.

$A=P(1+\frac{r}{n})^{nt}$

where

A = final amount

P = principle amount

r = interest rate / 100

n = number of compounds per interval

t = time interval

Now in our case,

A = unknown

P = $1900

r = 10.4/100

n = 12 months / year ( because the interest is compounded monthly)

t = 4.5 yrs

Therefore, the compound interest formula gives

$A=1900(1+\frac{10.4/100}{12})^{12*4.5}$

Using a calculator, we evaluate the above to get

$\boxed{A=\$3027.80}$

which is our answer!

8 0

1 year ago