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qwelly [4]
3 years ago
11

Liz deposited money into an account in which interest is compounded quarterly at a rate of 3.2%. How much did she deposit if the

total amount in her account after 5 years was $4837.65, and she made no other deposits or withdraws. SHOW WORK
You invest $5125 into a fund that is expected to earn 4.75% per year. How long will it take the fund to be worth $10,250. round to the tenths SHOW WORK

Beth's insurance company pays for 75% of the cost of her MRI, after she pays a $100 deductible. How much will Beth pay for her MRI if it costs $1218. SHOW WORK
Mathematics
1 answer:
Anna [14]3 years ago
5 0

Answer:

$4125.00

14.94 years

$379.50

Step-by-step explanation:

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

4837.65 = P(1 + 0.032/4)^(4×5)

4837.65 = P(1.008)^(20)

P = 4125.00

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

10250 = 5125(1 + 0.0475/1)^(1×t)

10250 = 5125(1.0475)^t

2 = 1.0475^t

ln 2 = t ln 1.0475

t = 14.94

3. Beth pays the first $100, bringing the cost to $1118.  She then pays 25% of this, which is $279.50.  So she pays a total of $379.50.

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Factorial – is the product of natural numbers, for example:
svp [43]

Answer:

Step-by-step explanation:

11! = 11*10*9*8*7*6*5*4*3*2*1 = 3991600

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1=1.307674368 * 10^{12}

also looks like this                             1,307,674,368,000

20! = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2 = 2.432902008 * 10^{18}

also looks like this                             2,432,902,008,000,000,000

8!(7-3)! = 8!4! = (8*7*6*5*4*3*2)(4*3*2) = 967,680

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8 0
3 years ago
Substatution and elimination
Salsk061 [2.6K]
Well using elimination is easy because they basically did it for you. 
4x-5y=-6
2x+5y=12
The postive 5y and negative 5y cancel out because -5y plus 5y is zero.
so you are left with
4x=-6
2x=12
Add these together
6x=18
divide both sides by 6 and Solve to find your x
x=3
Now we have to eliminate x to find y.
we multiply the second equation by -2 so it can cancel out so
(2x+5y=12)-2
-4x-10y=24
Add the equations together
4x-5y=-6
-4x-10y=24
You are left with -15y = 30
Solve for y
y = -2
So your final answer for the elimination would be 
(3,-2)
6 0
3 years ago
A cone has a diameter of 4 cm and a height of 11 cm. What is the volume 1 point
anzhelika [568]

Answer: 46.05

Step-by-step explanation:

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4 0
3 years ago
Twenty girls​ (ages 9-10) competed in the​ 50-meter freestyle event at a local swim meet. The mean time was 43.70 seconds with a
iragen [17]

Answer:

Right or positively skewed

Step-by-step explanation:

From the median and the interquartile range we can find the first and third quartile values Q3=40.15+(4.98/2)=42.64 and Q1=37.66.

Now we have enough evidence to conclude that is Right or positively skewed

1. The mean is above the median

2. The mean is 43.70, which is above the third quartile (42.64), meaning that after the mean there's less than 30% of the data.

The evidence suggests that most of the data is concentrated at the bottom of the distribution making it right or positively skewed.

3 0
3 years ago
How much red paint and blue paint do you use to make 20 cups of purple paint?
Iteru [2.4K]

Answer:

To get 20 cups of purple paint, the table shows that we need 8 cups of blue paint and 12 cups of red paint. We can solve the problem using double (or triple) number lines.

7 0
3 years ago
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