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Juliette [100K]
3 years ago
8

A rectangular garden measures 25ft by 30ft . Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this pa

th. Be sure to include the correct unit in your answer.

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0
The answer is circled in yellow.

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Last year, Susan had 10,000 to invest. She invested some of it in an account that paid 6%
katrin2010 [14]

Answer:

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Part a) account that paid 6% simple interest per year

in this problem we have

t=1\ years\\ P=\$x\\r=0.06

substitute in the formula above

I1=x(0.06*1)

I1=0.06x

Part b) account that paid 5% simple interest per year

in this problem we have

t=1\ years\\ P=\$10,000-\$x\\r=0.05

substitute in the formula above

I2=(10,000-x)(0.05*1)

I2=500-0.05x

we know that

I1+I2=\$560

substitute and solve for x

0.06x+500-0.05x=560

0.01x=560-500

0.01x=60

x=\$6.000

therefore

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

6 0
3 years ago
Need help please help mee.. (dont answer if u dont know how to do it
vivado [14]

Answer:

4,38.8

Step-by-step explanation:

but u dont want my help srry

3 0
3 years ago
Read 2 more answers
Help please! Due in 30 minutes!
never [62]

Answer:

Product of a Power: When you multiply exponentials with the same base, you add their exponents (or powers). Power to a Power: When you have a power to a power, you multiply the exponents (or powers). Quotient of Powers: When you divide exponentials with the same base, you subtract the exponents (or powers).

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A polyhedron is a two-dimensional solid bounded by the polygonal regions formed by intersecting planes. true or false?
Makovka662 [10]
False.
A polyhedron is three-dimensional.


6 0
3 years ago
Read 2 more answers
​If, based on a sample size of 950​, a political candidate finds that 563 people would vote for him in a​ two-person race, what
Ann [662]

Answer:

The 99​% confidence interval for his expected proportion of the​ vote is (0.5516, 0.6336). Since the interval for the proportion is above 50%, he would be confident of winning based on the pool.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 950, p = \frac{563}{950} = 0.5926

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5926 - 2.575\sqrt{\frac{0.5926*0.4074}{950}} = 0.5516

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5926 + 2.575\sqrt{\frac{0.5926*0.4074}{950}} = 0.6336

The 99​% confidence interval for his expected proportion of the​ vote is (0.5516, 0.6336). Since the interval for the proportion is above 50%, he would be confident of winning based on the pool.

8 0
3 years ago
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