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Slav-nsk [51]
3 years ago
15

Which inequality best represents the situation? A bamboo stalk grows at a rate of 3 centimeters per day. Lisa plants a 9-centime

ter bamboo stalk in her yard. How many days will it take for the stalk to be at least 300 cm tall?
Mathematics
1 answer:
pav-90 [236]3 years ago
8 0
Let x represent the days it will take for the stalk to be at least 300 cm tall

3x+9≥300
3x≥291
x≥97
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One endpoint (-1,-5) Midpoint (2,3)
Alecsey [184]
I don’t know the answer but I need a answer to this
4 0
3 years ago
Can someone please help
Juliette [100K]

Answer:

201.06

Step-by-step explanation:

3.14 * 8^2= 201.06

(pi * radius ^ squared)

5 0
3 years ago
Read 2 more answers
Imagine that you would like to purchase a $275,000 home. Using 20% as
vfiekz [6]

Answer:

The mortgage chosen is option A;

15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470

Step-by-step explanation:

The details of the home purchase are;

The price of the home = $275,000

The mode of purchase of the home = Mortgage

The percentage of the loan amount payed as down payment = 20%

The amount used as down payment for the loan = $55,000

The principal of the mortgage borrowed, P = The price of the house - The down payment

∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000

The principal of the mortgage, P = $220,000

The formula for the total amount paid which is the cost of the loan is given as follows;

Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n -  \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }

The formula for monthly payment on a mortgage, 'M', is given as follows;

M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}

A. When the mortgage term, t = 15-years,

The interest rate, r = 3%

The number of months over which the loan is payed, n = 12·t

∴ n = 12 months/year × 15 years = 180 months

n = 180 months

The monthly payment, 'M', is given as follows;

M =

The total amount paid over the loan term = Cost of the mortgage

Therefore, we have;

220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)

M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1}  \approx 1,519.28

The minimum monthly payment for the loan, M ≈ $1,519.28

The total amount paid over loan term, A = n × M

∴ A ≈ 180 × $1,519.28 = $273,470

The total amount paid over loan term, A ≈ $270,470

B. When t = 20 year and r = 6%, we have;

n = 12 × 20 = 240

\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1}  \approx 1,576.15

The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276

The monthly payment, M = $1,576.15

C. When t = 30 year and r = 5%, we have;

n = 12 × 30 = 360

\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1}  \approx 1,181.01

The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163

The monthly payment, M ≈ $1,181.01

The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability

Therefore;

The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;

The total amount paid over the loan term = $270,470

8 0
3 years ago
Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?
olganol [36]

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

\displaystyle y=\frac{k}{x}

Where <em>k</em> is the constant of variation.

We know that <em>y</em> = 48 when <em>x</em> = 3. Substitute:

\displaystyle (48)=\frac{k}{(3)}

Solve for <em>k: </em>

<em />k=3(48)=144<em />

<em />

Hence, our equation is:

\displaystyle y=\frac{144}{x}

We want to find <em>x</em> when <em>y</em> = 24. Substitute:

\displaystyle \frac{24}{1}=\frac{144}{x}

Cross-multiply:

24x=144

Divide both sides by 24. Hence:

x=6

Our answer is C.

3 0
3 years ago
a box contains 1 3/4 pounds of pancake mix. Jada used 7/8 pound for a recipe. What fraction of the pancake mix in the box did sh
ololo11 [35]

Answer:

Jada used 1/2 of the pancake mix in the box

Step-by-step explanation:

we know that

1\frac{3}{4}\ pounds -----> represent the 100% of the box

so

by proportion

Find what fraction represent \frac{7}{8}\ pounds

First convert mixed number to an improper fraction

1\frac{3}{4}\ pounds=\frac{1*3+4}{4}=\frac{7}{4}\ pounds

\frac{100}{(7/4)}=\frac{x}{(7/8)}\\ \\x= 100*(7/8)/(7/4)\\ \\x=50\%

Convert the percentage into fraction

50\%=50/100=1/2

6 0
3 years ago
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