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3 years ago

Write 85 expanded form

Mathematics

2 answers:

Feliz [49]3 years ago

4 0

85 in expanded form is 80+5

WARRIOR [948]3 years ago

3 0

80 + 5 is 85 in extended form

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WILL MARK BRAINLIEST !!!

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Answer:

(-3,3) Hope that this does help!

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3 years ago

What is the value of cos(A) in the diagram? a.60/61 b.61/11 c.11/61 d.61/60

ehidna [41]

Answer:

a. 60/61

Step-by-step explanation:

With reference angle A

base(b) = 60

hypotenuse (h) = 61

Now

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How can a company's salespeople help with product development?

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Answer/Explanation

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2 years ago

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If tan e = 1.3, what is the value of cot (90° - 9)?

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Answer:

Step-by-step explanation:

We are given that:

$\tan(\theta)=1.3$

And we want to find:

$\cot(90^\circ -\theta)$

Remember that tangent and cotangent are co-functions. In other words, they follow the cofunction identities:

$\tan(\theta)=\cot(90^\circ-\theta)\text{ and } \cot(90^\circ-\theta)=\tan(\theta)$

Therefore, since tan(θ) = 1.3 and cot(90° - θ) = tan(θ), then cot(90° - θ) must also be 1.3.

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3 years ago

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont

love history [14]

Answer:

$\approx$ 17.5% per annum

Step-by-step explanation:

Given:

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

Interest is compounded annually.

To find:

Rate of growth = ?

Solution:

First of all, let us have a look at the formula for compound interest.

$A = P \times (1+\frac{R}{100})^T$

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

$500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%$

So, the correct answer is $\approx$ 17.5% per annum and compounding annually.

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3 years ago