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4 years ago

Given that ∠ABC ≅ ∠DBE, which statement must be true?

Mathematics

2 answers:

STALIN [3.7K]4 years ago

7 0

The second one which is ABD = CBE is the correct one

Airida [17]4 years ago

5 0

Answer:

ABD=CBE

Step-by-step explanation:

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Micheal has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3π in^3. One day, his sink is clogged. He ha

11Alexandr11 [23.1K]

Answer:

A is 27 i think and B is 15 i think

Step-by-step explanation:

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4 years ago

Question is below. 20 characters

erastova [34]

Answer:

Step-by-step explanation:

g(x) = x+4

g(8) = 8+4 = 12

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3 years ago

Kara used 1/4 cup of butter to make 2/3 of a batch of cookies.

Advocard [28]

Answer:

3/8 cup of butter

Step-by-step explanation:

1/4 / 2 = 1/8

1/8x3=3/8

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3 years ago

Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h

Paha777 [63]

Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

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

P is the loan amount.

Where interest rate r is given by

$r = \frac{APR}{12}$

Total number of payments n are given by

$n = 30\times12 = 360$

Monthly payment with points:

Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

So the APR becomes

$APR = 4.4\% - 0.125(2)\\\\APR = 4.4\% - 0.25\%\\\\APR = 4.15\%$

and the corresponding interest rate r is

$r = \frac{APR}{12}\\\\r = \frac{4.15\%}{12}\\\\r = 0.3458\% \\\\r = 0.003458$

Finally, the monthly payment is

$MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361$

Monthly payment without points:

Interest rate r is,

$r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667$

Monthly payment is,

$MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13$

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

6 0

4 years ago

Kendra has a black walnut tree in her yard. To make extra money this fall, she gathers the walnuts off the ground and sells them

larisa [96]

Answer: About $118.66

Step-by-step explanation:

53.4/0.45 is 118.66

3 0

3 years ago