All categories

3 years ago

velma invested $5400 in a savings account with a yearly interest rate of 4% for 7 years. How much simple interest did she earn?

Mathematics

2 answers:

madam [21]3 years ago

8 0

Answer: Simple interest = $1512

Step-by-step explanation:

Given: The principle amount (P)=$5400

The rate of interest (r)= 4%=0.04

Time (t)= 7 years

The formula to calculate the simple interest is given by :-

$S.I.=Prt\\\\\Rightarrow\ S.I.=\$5400\times0.04\times7\\\\\Rightarrow\ S.I.=\$1512$

Therefore, the simple interest earned by Velma = $1525

Yanka [14]3 years ago

5 0

5400*0.04(rate)=216

Because it's simple interest for 7 years, 216*7 should be the answer

So $1512

You might be interested in

What is 7 9/13 as an improper fraction

jasenka [17]

7 9/13
= (7×13)+9/13
= 91+9/13
= 98/13 (as an improper fraction).

6 0

3 years ago

What is the radius of a sphere with a surface area of 100TCm ?

tensa zangetsu [6.8K]

The radius is 5cm

Step-by-step explanation:

The surface area of a sphere is given by:

$SA = 4\pi r^2$

Here

Given

SA = 100π cm^2

Putting the values in the formula

$100\pi = 4\pi r^2\\r^2 = \frac{100\pi}{4\pi}\\r^2 = 25$

Taking square root on both sides

$\sqrt{r^2} = \sqrt{25}\\r = 5 cm$

The radius is 5cm

Keywords: Surface area, Radius

Learn more about surface area of sphere at:

#LearnwithBrainly

7 0

3 years ago

Use the exponential function y=500(.9)^x to find the value of the video game console after 4 years.

zysi [14]

Answer:

328.05 dollars

7 years

Step-by-step explanation:

y=500(.9)^4 =328.05

What is being asked in the problem and what does that mean?

We are asked to the price of the video game after 4 years.

What do I know and what does it mean? What plan am I going to try?

We know the initial price is $500, the value depreciates 10% each year because we have .9 or 90% of the price going into the next year.

- value of the video game after first year 90% of 500 so is 450

- value of the video game after second year 90% of 450 so is 405

-value of the video game after third year 90% of 405 so is 364.5

-value of the video game after fourth year 90% of 364.5 so is 328.05

The plan is to substitute x with 4 and calculate y, y=500(.9)^4

What is your answer and what does it mean?

The answer is $328.05, and it means that the video game that was initially worth $500 it lost its' value by 10 % each of the four years.

y= 500(.9)^x

----------------------------------------------------------------------------

x =8, y= 500(0.9)^8 = 215.234 ≈215.23, this is less than $250

x = 7, y= 500(0.9)^7 = 239.148 ≈239.15, this is less than $250

x =6, y= 500(0.9)^6 = 265.721 ≈ 265.72, this is more than $250

What is being asked in the problem and what does that mean?

We are asked to find the value of x that represents the years such that the value of the console is still under $250.

What do I know and what does it mean? What plan am I going to try?

We know the value of y has to be less that $250, we know the inequality

[500(.9)^x ] < 250, the plan is to try different values for x until we have the maximum value of x that gives us less than 250.

8 0

3 years ago

Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins

bixtya [17]

Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.

Step-by-step explanation: As it is stipulated, x relates to type-A and y to type-B.

Type-A has 60 deluxe cabins and B has 80. It is needed a minimum of 360 deluxe cabins, so:

60x + 80y ≤ 360

For the standard cabin, there are in A 160 and in B 120. The need is for 680, so:

160x + 120y ≤ 680

To calculate how many of each type you need:

60x + 80y ≤ 360

160x + 120y ≤ 680

Isolating x from the first equation:

x = $\frac{360 - 80y}{60}$

Substituing x into the second equation:

160( $\frac{360 - 80y}{60}$ ) + 120y = 680

-3200y+1800y = 10200 - 14400

1400y = 4200

y = 3

With y, find x:

x = $\frac{360 - 80y}{60}$

x = $\frac{360 - 80.3}{60}$

x = 2

To determine the cost:

cost = 42,000x + 51,000y

cost = 42000.2 + 51000.3

cost = 161400

To keep it in a minimun cost, it is needed 2 vessels of Type-A and 3 vessels of Type-B, to a cost of $161400

8 0

3 years ago

The parents of a hospitalized 3-month-old have to leave the infant while they work. One parent fears that the baby will cry as s

dexar [7]

1. “ at this age , my baby will not cry because we are leaving.”

5 0

4 years ago