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vladimir1956 [14]
2 years ago
14

Pulling a red card from a deck of cards, replacing it, and then pulling a king

Mathematics
1 answer:
erastova [34]2 years ago
3 0
Where is the question?
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19) Mr. Kelly finds a nice little bank (GOLIATH NATIONAL BANK) to invest the money he made from his
goblinko [34]

Answer:

Step-by-step explanation:

Answer: it will take 17.5 years to double his money in the account.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $500

A = 500 × 2 = $1000

r = 4% = 4/100 = 0.04

n = 4 because it was compounded 3 times in a year.

Therefore,.

1000 = 500(1 + 0.04/4)^4 × t

1000/500 = (1 + 0.01)^4t

2 = (1.01)^4t

Taking log of both sides, it becomes

Log2 = 4tlog 1.01

0.301 = 4t × 0.0043 = 0.0172t

t = 0.301/0.0172

t = 17.5 years

4 0
2 years ago
melissa bought a cake that cost $75 the sales tax rate is ten percent what is the total amount she paid for the cake
Nady [450]
Multiply, because the total price is ten percent more than the original:                            $75 x 1.1 = <span>$82.5</span>
6 0
3 years ago
What is 2 3/4 × 1 5/6 =
Fittoniya [83]
Hi friend,



Converting mixed numbers to fractions<span>, our initial equation becomes,
</span>

11/4 x 11/6


Applying the fractions formula for multiplication<span>,
</span>

11 x 11 --> 121
                  -----
4 x 6 ------> 24


Simplifying 121/24<span>, the answer is:</span>
     

5 1/24



Hope this helped
7 0
3 years ago
Read 2 more answers
A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st
shutvik [7]

Answer:

Equation of movement y(t)

y(t)=sin(10t-\pi/2)

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

A=1\,inch

The period depends on the mass and the spring constant.

The formula for the period is:

T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s

The model y(t) for the movement of the mass-spring system is

y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)

8 0
3 years ago
ILL MARKE BRAINLIEST IF YOU SHOW YOUR WORK
madam [21]
The function of the relationship above is y=5x+4
4 0
3 years ago
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