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IRINA_888 [86]
2 years ago
8

1. Ralin and Michael each opened a savings account with a deposit of $15,950.

Mathematics
1 answer:
MaRussiya [10]2 years ago
6 0

Answer:

<u>Simple interest formula</u>

  • I = Prt, I- amount of interest, P- principal, r- interest rate, t - time
  • A = P(1 + rt), A - final amount, the rest as above

#1

18 months = 1.5 years

The difference in the amount of interest:

  • $15950*1.5*(5.5-3)/100 = $598.13

#2

  • $3000*(1 + 4*12/100) = $4440

#3

  • $7050*8*(6 - 5.5)/100 = $282

#4

  • $950*(1 + 12*3.65/100) = $1366.10

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At noon the minute and the hour hands overlap. In how man hours and minutes will it happen next?
Readme [11.4K]

It would happen again at 1 hour and 5 minutes .

That is because at noon it is 12 p.m. and for the minute and the hour hands overlap, the next time it would happen is at 1:05 which is going to overlap again

7 0
2 years ago
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For the problem -4(-5)(9), will the answer be positive or negative?
Scorpion4ik [409]

Answer:

Positive

Step-by-step explanation:

-4(-5)(9)

Negative cancels out negative, so it makes a positive:

20(9)

Simplify normally to get 180 as your final answer.

8 0
2 years ago
While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff r
user100 [1]

Answer:

The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

 each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….  (constant difference is 3)

# 5  ,  10  ,  15  ,  20  ,  …………………………  (constant difference is 5)

# 12  ,  10  ,  8  ,  6  ,  ……………………………  (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

 U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- So the nth term is Un = a + (n – 1)d, where n is the position of the

 number in the series

* Lets solve the problem

- Jeff wants to increase the number of miles he runs each day

∴ He will add the initial value by constant number each day

- He plans on increasing the number of miles he runs a day by 1

∴ The constant value is 1 mile

-  On the first day of training, Jeff runs 5 miles

∴ The first value is 5 miles

∴ The series is arithmetic

∵ a = 5 , d = 1

- He do that for the remainder of the week

∵ The week has 7 days

∴ The series has 7 terms

∵ The rule of the series is Un = a + (n - 1)d

∵ a = 5 and d = 1

∴ Un = 5 + (n - 1)(1)

∴ Un = 5 + n - 1

∴ Un = 4 + n ⇒ n is the position of the number

- Substitute n from 1 to 7 to find the series

∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

6 0
3 years ago
321 ÷ 40 long division what the answer showing work
vodomira [7]
40 goes into 32 0 times 40 goes into 321 8 times 40 times 8 equls 320 so 8r1
7 0
3 years ago
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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of
kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

A=\frac{\sqrt{3} }{4} a^{2}

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

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A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}

A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}

Now, comparing areas:

\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )

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