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3 years ago

14

Simplify the expression: 1.9b + 8.2(8.8 + 1.2b)

1 answer:

leva [86]3 years ago

7 0

Answer:

11.74b + 72.16

Step-by-step explanation:

In this question, we're going to simplify the expression.

Solve:

1.9b + 8.2(8.8 + 1.2b)

Use the distributive property.

1.9b + 72.16 + 9.84b

Combine like terms.

11.74b + 72.16

Since we can't simplify any further, 11.74b + 72.16 would be your answer.

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In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?

sdas [7]

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

$E = 18375, t = 10, I = 0.0525$

We want to find P. So

$E = P*I*t$

$18375 = P*0.0525*10$

$0.525P = 18375$

$P = \frac{18375}{0.525}$

$P = 35000$

The principal amont was $35,000

5 0

2 years ago

Is 14/950 more or less than 1/2 and why!

qwelly [4]

Well because 14 is nowhere near half of 950 (which is 475), 1/2 is bigger. I hope this helped.

3 0

2 years ago

The diameter of a clock's face is 6 inches. Find the length of the mirror arc formed by the hands of the clock at 4:00. Round to

Genrish500 [490]

We know that

360°/12 hour-----------> 30°/hour

<span>Central angle at 4 .00 is 120 degrees

the radius of a clock is 6/2-----> r=3 in
length of a circumference=2*pi*r-----> 2*pi*3----> 18.84 in

the minor arc at 4 .00 is for a central angle of 120</span>°
so
if 360° (full circle)---------> has a length of 18.84 in
120°----------------------> X
X=120*18.84/360-------> X=6.28 in

the answer is
6.28 in

6 0

2 years ago

A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. Wh

NeTakaya

Answer:

15 cm.

Step-by-step explanation:

It is given that,

Central angle $=\dfrac{7\pi}{10}$

Arc length = 33 cm

Formula for arc length :

$s=r\theta$

where, s is arc length, r is radius and $\theta$ is central angle in radian.

Substitute s=33 and $\theta=\dfrac{7\pi}{10}$ in the above formula.

$33=r\left(\dfrac{7\pi}{10}\right)$

Multiply both sides by 10.

$330=7\pi r$

Divide both sides by $7\pi$ .

$\dfrac{330}{7\pi}= r$

Put $\pi=3.14$

$\dfrac{330}{7(3.14)}= r$

$15.0136= r$

$r\approx 15$

Therefore, the radius of the circle is 15 cm.

6 0

3 years ago

Read 2 more answers

Find the value of t in the diagram

12345 [234]

In a trapezoid, with bases $b$ and $B$ and height $h$ , the area is given by

$A = \frac{(B+b)h}{2}$

In your case:

$B = BC = 3t$

$b = AD = t$

$h = AB = t$

so, the formula becomes

$A = \frac{(3t+t)t}{2} = \frac{4t^2}{2} = 2t^2$

Since the area is $50 \text{cm}^2$ , we have

$2t^2 = 50 \iff t^2 = 25 \iff t = 5$

5 0

2 years ago

Read 2 more answers