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aleksklad [387]

2 years ago

15

Your cousin borrowed $6000, some on a home-equity loan at an interest rate of 9.5% and the rest on a consumer loan at an interes

t rate of 11%. Her total interest paid was $645. How much did she borrow at each rate?

1 answer:

Novosadov [1.4K]2 years ago

6 0

Answer:

I=PRT 9.5% in decimal form is .095=11 times rate times tax but we don't know what the tax is.

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What is 76/10 in a mixed number??

cestrela7 [59]

A mixed number is in the form x y/z while a improper fraction (76/10) is in the form y/z. We can separate the fraction into two parts. One is 70/10 which = 7 and the other is 6/10 which simplifies to 3/5. So, in order to express 76/10 as a mixed number we must express it as 7 3/5 or 7 6/10. 7 3/5 is equal to 7 6/10.

I hope this helped you!
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5 0

2 years ago

Lucinda wants to build a square sandbox, but she has no way of measuring angles. Which of the following explains how she can mak

Sati [7]

All of the angles should be the same because a square has all equal angles and side lengths.

6 0

2 years ago

Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????)<br> .

anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

We need to begin with the definition of tangent:

$tan (x) =\frac{sin(x)}{cos(x)}$

So we can replace into our formula and we got:

$tan(x-y) = \frac{sin(x-y)}{cos(x-y)}$ (1)

We have the following identities useful for this case:

$sin(a-b) = sin(a) cos(b) - sin(b) cos(a)$

$cos(a-b) = cos(a) cos(b) + sin (a) sin(b)$

If we apply the identities into our equation (1) we got:

$tan(x-y) = \frac{sin(x) cos(y) - sin(y) cos(x)}{sin(x) sin(y) + cos(x) cos(y)}$ (2)

Now we can divide the numerator and denominato from expression (2) by $\frac{1}{cos(x) cos(y)}$ and we got this:

$tan(x-y) = \frac{\frac{sin(x) cos(y)}{cos(x) cos(y)} - \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{sin(x) sin(y)}{cos(x) cos(y)} +\frac{cos(x) cos(y)}{cos(x) cos(y)}}$

And simplifying we got:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

And this identity is satisfied for all:

$(x-y) \neq \frac{\pi}{2} +n\pi$

8 0

2 years ago

Select the non-linear function from the list of the following:

solong [7]

Answer:

c

Step by step explanation: Linear equations don't have exponents, so that makes option c nonlinear

6 0

1 year ago

What h(10) means in the context of the real-world scenario, and how to find its value.

Nataliya [291]

the answer is the fraction of the number of line is a whole number an integer number

3 0

2 years ago