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3 years ago

Because of an accident Royce was involved in, his insurance company has increased his annual premium for auto insurance

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

Answer:

New Premium = $571.24

Step-by-step explanation:

Current premium = $22.50 + $144.75 + $275.75 + $100.00 = $543.00

New Premium = Current Premium x (1 + 0.052)

New Premium = $543.00 x 1.052

New Premium = $571.24

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Jonathan has $44,200 in a saving account. The interest rate is 7% per year and is not compounded. How much interest will he earn

harina [27]

The interest that he gains after 3 years is $9282.

Step-by-step explanation:

Step 1: Given details are Principal amount (P) in bank = $44200, Interest rate, R = 7%, Time, T = 3 years. Since interest is not compounded, we have to calculate simple interest.

Step 2: Formula for Simple Interest (SI) = PRT/100

⇒ SI = (44200 × 7 × 3)/100

⇒ SI = 442 × 7 × 3

⇒ SI = $9282

8 0

3 years ago

What is the solution to the linear equation? 2/3x – 1/2 = 1/3 + 5/6 x

svet-max [94.6K]

Answer: $x=-5$

Step-by-step explanation:

You need to find the value of the variable "x".

Solve for "x":

Subtract $\frac{5}{6}x$ from both sides of the equation:

$\frac{2}{3}x-\frac{1}{2}-\frac{5}{6}x}=\frac{1}{3}+\frac{5}{6}x\\\\-\frac{1}{6}x-\frac{1}{2} =\frac{1}{3}$

Add $\frac{1}{2}$ to both sides of the equation:

$-\frac{1}{6}x-\frac{1}{2}+\frac{1}{2} =\frac{1}{3}+\frac{1}{2}\\\\-\frac{1}{6}x=\frac{5}{6}$

Multiply both sides of the equation by -6:

$(-\frac{1}{6}x)(-6)=(\frac{5}{6})(-6)\\\\x=-5$

5 0

3 years ago

Can someone help me with these two questions please??

Stella [2.4K]

Answer: Question 5 = H Question 6 = 6

Step-by-step explanation:

6 0

3 years ago

HELP ME WITH THIS IM DESPERATE!

GuDViN [60]

Answer:

The anwser is 213.465 m2

Step-by-step explanation:

Yes uh get it i guess

6 0

2 years ago

Read 2 more answers

The radius of the base of a cylinder is increasing at a rate of 11 meter per hour and the height of the cylinder is decreasing a

musickatia [10]

Answer:

The volume of the cylinder is decreasing at a rate of 83629.2 m³/h.

Step-by-step explanation:

The volume of a is given by:

$V = \pi r^{2}h$

Where:

r: is the radius = 55 m

h: is the height = 88 m

We can express the rate of change of the volume of the cylinder as follows:

$\frac{dV}{dt} = \pi[h\frac{2rdr}{dt} + r^{2}\frac{dh}{dt}]$

If dr/dt = 11 m/h and dh/dt = -44m/h, we have:

$\frac{dV}{dt} = \pi[88 m*2*55 m*11 m/h + (55 m)^{2}*(-44 m/h)] = -83629.2 m^{3}/h$

Therefore, the volume of the cylinder is decreasing at a rate of 83629.2 m³/h.

I hope it helps you!

5 0

3 years ago