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3 years ago

Acellus

Mathematics

1 answer:

mylen [45]3 years ago

8 0

Answer: 90degrees

Step-by-step explanation: The question was asked in degree. So the answer should be in degree. Which leaves us with no option than 90degrees.

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Lea invests $8,333 in a savings account with a fixed annual interest rate of 8% compounded 2 times per year. What will the accou

jolli1 [7]

if she doesn't spend a penny, could it be(1.08)^12×$8.333?

3 0

3 years ago

I need help with this question :/

Setler79 [48]

Answer:

see explanation

Step-by-step explanation:

Note there is a common ratio between consecutive terms of the sequence, that is

- 450 ÷ 15 = 13500 ÷ - 450 = - 405000 ÷ 13500 = - 30

Thus to obtain the next term in the sequence multiply the previous term by - 30

start with 15 and multiply by - 30

8 0

4 years ago

Line p is parallel to line q. Which proof explains why the sun of the interior angles of the triangle must be 180

V125BC [204]

Answer:

We consider a triangle ABC as attached in the answer.

We draw a line parallel to AB that passes through point C.

Angles C and C' are vertical angles, therefore ∠C = ∠C'.

Angles B and B' are corresponding angles, therefore ∠B = ∠B'.

Angles A and A' are corresponding angles, therefore ∠A = ∠A'.

it can be seen that angle sum ∠A + ∠B + ∠C is equal to the angle sum ∠A' + ∠B' + ∠C'.

The three angles A', B', and C' form together a straight angle so, their angle sum is 180°. But then the angle sum ∠A + ∠B + ∠C must also be 180°.

This proofs that sum of angles of a triangle is equal to 180.

4 0

3 years ago

Sarah invested $1000 in an account paying 5.5% interest compounded semi-annually. How long will it take for the account balance

NISA [10]

Answer: it will take 43.25 years

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $1000

A = $10450

r = 5.5% = 5.5/100 = 0.055

n = 2 because it was compounded 2 times in a year.

Therefore,.

10450 = 1000(1 + 0.055/2)^2 × t

10450/1000 = (1 + 0.0275)^2t

10.45 = (1.0275)^2t

Taking log of both sides, it becomes

Log 10.45 = 2t log 1.0275

1.019 = 2t × 0.01178 = 0.02356t

t = 1.019/0.02356

t = 43.25 years

4 0

3 years ago

Please show full Solutions. I will mark brainliest for the best answer. Thank you and god bless.

UNO [17]

9514 1404 393

Answer:

(2x +y)(2x -y +6)

Step-by-step explanation:

The shaded area is the difference of the areas of the outer square and the inner square. In turn, those areas are the square of the edge dimension of the square. So, the shaded area is the difference of squares:

area = (2x +3)² -(y -3)²

The difference of squares is a "special product" in that it has a factored form that is worth remembering.

a² -b² = (a -b)(a +b)

Using this form for our area, we have ...

area = ((2x +3) -(y -3))((2x +3) +(y -3))

area = (2x -y +6)(2x +y)

7 0

3 years ago