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3 years ago

Solve the following: 9 - 1.05 =

Mathematics

1 answer:

Dima020 [189]3 years ago

6 0

Answer:

7.95

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When lines coincide how many solutions does each system have?

Pani-rosa [81]

I believe It is A. infinitely solutions

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4 years ago

Read 2 more answers

$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years

forsale [732]

Answer:

$\$13,107.96$

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

$\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}$

8 0

3 years ago

use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos^4

Firdavs [7]

The expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8.</u>

The power-reducing formula, for cosine, is,

cos² θ = (1/2)[1 + cos 2θ].

In the question, we are asked to use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos⁴ θ.

We can do it as follows:

cos⁴ θ

= (cos² θ)²

= {(1/2)[1 + cos 2θ]}²

= (1/4)[1 + cos 2θ]²

= (1/4)(1 + 2cos 2θ + cos² 2θ] {Using (a + b)² = a² + 2ab + b²}

= 1/4 + (1/2)cos 2θ + (1/4)(cos ² 2θ)

= 1/4 + (1/2)cos 2θ + (1/4)(1/2)[1 + cos 4θ]

= 1/4 + cos 2θ/4 + 1/8 + cos 4θ/8

= 3/8 + cos 2θ/4 + cos 4θ/8

= [ 3 + 2cos 2θ + cos 4θ]/8.

Thus, the expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8</u>.

Learn more about reducing trigonometric powers at

brainly.com/question/15202536

#SPJ4

5 0

2 years ago

Find the geometric means in the following sequence.

soldi70 [24.7K]

Answer:

Last choice. d.

Step-by-step explanation:

We are given the first term and the sixth term.

The first term is $a_1=-9$ .

The sixth them is $a_6=a_1r^5=-9216$ .

Let's solve for the common ratio, r.

$-9r^5=-9216$

Divide both sides by -9:

$r^5=1024$

Take the fifth root of both sides:

$r=1024^{\frac{1}{5}}$

$r=4$

So the common ratio is 4.

$a_1=-9$

$a_2=-9(4)=-36$

$a_3=-9(4)^2=-144$

$a_4=-9(4)^3=-576$

$a_5=-9(4)^4=-2304$

$a_6=-9(4)^5=-9216$

8 0

4 years ago

A color printer prints 31 pages in 9 minutes. How many pages does it print per minute?

djyliett [7]

According to my calculations, it would take approximately 3.4 (being in decimal form) pages PER minute or Just 3 minuets being rounded to the nearest tenth. If I am I correct please correct me. I used a calculator.

7 0

3 years ago