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Kamila [148]
3 years ago
8

lena's house casts a shadow that is 14 feet long at the same time that lena casts a shaodw that is 3.5 feet long if lena is 4.5

feet tall how tall is hr house?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0
The house is 18 ft tall
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If a person wants to have $2000 after 4 years, how much would they have to deposit into an account that pays 6.5% interest compo
V125BC [204]

Answer:

The amount is $2572.93 and the interest is $572.93.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A=P(1+rn)n⋅t

A = total amount  

P = principal or amount of money deposited,

r = annual interest rate  

n = number of times compounded per year

t = time in years

In this example we have

P=$2000 , r=6.5% , n=1 and t=4 years

After plugging the given information we have

AAAA=2000(1+0.0651)1⋅4=2000⋅1.0654=2000⋅1.286466=2572.93

STEP 2: To find interest we use formula A=P+I, since A=2572.93 and P = 2000 we have:

A2572.93II=P+I=2000+I=2572.93−2000=572.93

4 0
3 years ago
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of peopl
alexandr402 [8]

This Question is Incomplete

Complete Question

As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?

Answer:

Sample size n = 16

Step-by-step explanation:

We use the formula for Margin of Error for the question

Margin of Error = z × Standard deviation/√n

Margin of Error = 1

z score for 99% confidence interval = 2.576

Standard deviation = 100

1 = 2.576 × 100/√n

1 × √n = 257.6

√n = 257.6/1

n = √257.6

n = 16.049922118

Approximately = 16

Therefore, the sample size = 16

4 0
4 years ago
The phases of the moon are periodic and repetitive. A new moon occurs when no moon is visible to an observer on
vfiekz [6]

Answer:

It's A

Step-by-step explanation:

Got it right on the practice :)

3 0
3 years ago
Pythagorean Theory <br><br> I need help...
faltersainse [42]

Answer: 12

Step-by-step explanation:

7 0
4 years ago
Factor the trinomial below.
tankabanditka [31]

Answer:

A. 4(2x+1)(x-2)

Explanation:

8x^{2} -12x-8

1. You can factor out a 4.

        4(2x^{2} -3x-2)

2. Factor (2x^{2} -3x-2).

        X-Method:

        1. Draw an X

        2. Multiply ac (2(-2)=-4) then put it in the top part of the X

        3. Then put b, -3, in the bottom part of the X

        4. On the two sides of the X find out what added together equals b, -3,

        and multiplied equals ac, -4.

        5. -4(1)=-4 & -4+1=-3

        6. If the quadratic has a coefficient then you must divide the two sides

        of the X by that coefficient, 2.

        7. -4/2=-2 & 1/2 can't be evenly divided into, so in this case the

        coefficient remains.

        8. When you write this out it will be (2x+1)(x-2)

3. Put it together to get your answer.

        4(2x+1)(x-2)

4 0
3 years ago
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