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3 years ago

Write a number that has a value less than 4.7.

2 answers:

7 0

Hi:) any number that is less than 4.7 automatically has a lower value than 4.7. so numbers like 1 or 4.5 have a lower value than 4.7
Hope this helps <3

Elena-2011 [213]3 years ago

3 0

0 to 4.6 plz mark brainliest

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A total of $27,000 is invested, part of it at 12% and the rest at 13%. The total interest after one year is $3385. How much was

Sveta_85 [38]

The amount invested in each rate are $14500 and $12500 respectively;

Let the amount invested in each be P1 and P2

Let the individual interest be I1 and I2 respectively;

I1 = P1R1T/100

I2 = P2R2T/100

If a total of $27,000 is invested, then;

P1 + P2 = 27000 ........... 1

If the total interest after one year is $3385, then;

I1 + I2 = 3385

$\frac{P_1(12)(1)}{100} + \frac{P_2(13)(1)}{100} = 3385\\0.12P_1+0.13P2=3385\\12P_1 + 13P_2=338500 ........................... 2$

Solving equations 1 and 2 simultaneously;

P1 + P2 = 27000 ........... 1 * 12

12P1 + 13P2 = 338500 ........... 2 * 1

________________________________

12P1 + 12P12 = 324000

12P1 + 13P2 = 338500 ...

Subtract both equations

12P2 - 13 P2 = 324000 - 338500

-P2 = -14500

P2 = 14500

Recall that P1 + P2 = 27000

P1 = 27000 - P2

P1 = 27000 - 14500

P1 = 12500

Hence the amount invested in each rate are $14500 and $12500 respectively;

Learn more here: brainly.com/question/19088526

7 0

3 years ago

A part is being machined. The starting thickness

Free_Kalibri [48]

Im mot sure of the answer

4 0

3 years ago

Can someone help explain this to me? I don’t think I’m doing it right.

seropon [69]

∠B = 77°, a = 7.42 and b = 12.61

Solution:

Given triangle ABC.

∠A = 35°, ∠C = 68°, c = 12

To find the measure of ∠B:

Sum of all the angles of the triangle = 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ 35° + ∠B + 68° = 180°

⇒ 103° + ∠B = 180°

⇒ ∠B = 180° – 103°

⇒ ∠B = 77°

To find the length of a and b:

The side opposite to angle A is a.

The side opposite to angle B is b.

Using law of sine,

$$\frac{\sin C}{c}=\frac{\sin A}{a}$

$$\frac{\sin 68^\circ}{12}=\frac{\sin 35^\circ}{a}$

$$\frac{0.9271}{12}=\frac{0.57357}{a}$

Do cross multiplication, we get

$$0.9271a=6.88284$

Divide by 0.9271 on both sides, we get

⇒ a = 7.42

Again by law of sine,

$$\frac{\sin C}{c}=\frac{\sin B}{b}$

$$\frac{\sin 68^\circ}{12}=\frac{\sin 77^\circ}{b}$

$$\frac{0.9271}{12}=\frac{0.9744}{b}$

Do cross multiplication, we get

$$0.9271b=11.6928$

Divide by 0.9271 on both sides, we get

⇒ b = 12.61

Hence ∠B = 77°, a = 7.42 and b = 12.61.

7 0

3 years ago

What is the answer to 0.08 is 10 times as great as?

DiKsa [7]

0.08 is 10 times greater than 0.008, becase 0.008 · 10 = 0.08

3 0

3 years ago

A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

$g(x) = \frac{2x+1}{x}$

A.)Consider

$f(g(x))= f(\frac{2x+1}{x} )$

$f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}$

$f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}$

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

8 0

4 years ago