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vovikov84 [41]
3 years ago
15

You open your first savings account three months ago so far you have earned 9.80 and simple interest at an annual interest rate

of 6%.How much money did you put in the account when you opened it?
Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer: you put 9.655 in the account when you opened it

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money deposited.

P represents the principal or amount of money deposited.

R represents interest rate on the deposit.

T represents the duration of the deposit in years.

From the information given,

Amount earned = 9.80

I = 9.8 - P

R = 6%

T = 3 months. There are 12 months in a year. Converting 3 months to year, it becomes 3/12 = 0.25 year

Therefore

9.8 - P = (P × 6 × 0.25)/100

9.8 - P = 0.015P

0.015P + P = 9.8

1.015P = 9.8

P = 9.8/1.015

P = 9.655

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While driving to the store, your vehicle traveled 30 miles. While you we traveling, your vehicle traveled at an average speed of
Olenka [21]

Answer:

2 hours

Step-by-step explanation:

30 miles/x hours = 15 miles/1 hour

30 = 15x

x = 2 hours

7 0
4 years ago
The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid
Xelga [282]

Answer:

6 x^2*\sqrt{3}

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: \frac{base*height}{2} = \frac{2x*height}{2}

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures x\sqrt{3}, so replacing this value in the formula above for the area of one of the triangles:

\frac{2x*height}{2}= \frac{2x*x\sqrt{3} }{2}=x^2\sqrt{3}

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):

Area of hexagon = 6x^2\sqrt{3}

which is the last option given in the list.

5 0
3 years ago
Read 2 more answers
A bakery sold a total of 3028 coffee buns and blueberry buns. 1560 more coffee buns were sold than the blueberry buns. How many
Natali [406]

Answer:

\large{ \tt{ -  \: HEY  \: AH~\:♡ }}

\large{ \tt{✺ \: SOLUTION}} :

  • Provided : Total sold bakery items : 3028 coffee buns and blueberry buns & 1560 more coffee buns were sold than the blueberry buns.

  • To find : Number of coffee buns the bakery sold

- First , Subtract 1560 from 3028 :

\large{ \tt{→ \: 3028 - 1560 = 1468}}

We just subtacted the number of more coffee buns from the number of told items sold which means that the number of coffee buns and the number of blueberry buns sold are equal for now. Now divide 1428 by 2 :

\large{ \tt{→ \frac{1428}{2} = 734 }}

Now - Let's get back to the second sentence of the question and add 734 & 1560 :

\large{ \tt{→ \: 734 + 1560 =  \large{ \boxed{2294}}}}

  • Hence , The bakery sold 2294 coffee buns.

- Hope this helps , oneesan! ;)

7 0
3 years ago
The number 4.18549 multiplied by by 10 to the 12th power is
Zanzabum
You multiply 10 12 times and you will have 1000000000000
than multiply it again by 4.18549 and you will get 418549000000
3 0
4 years ago
A 25 - foot ladder is leaned against a wall. If the base of the ladder is 7 ft from the wall,
Fiesta28 [93]

Answer:

24

Step-by-step explanation:

Since the ladder, wall, and ground form a right triangle, you can use this formula:

A squared + B squared = C squared

A = 7 feet

C = 25 feet

B = distance the ladder will reach

49 + B squared = 625

B squared = 625 - 49

B = square root of 576

B = 24 feet

6 0
3 years ago
Read 2 more answers
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