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scZoUnD [109]
2 years ago
10

Question 1

Mathematics
1 answer:
barxatty [35]2 years ago
7 0

Answer:

$283.07

Step-by-step explanation:

<u>Monthly Payment Formula</u>

\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}

where:

  • PMT = monthly payment
  • P = loan amount
  • i = monthly interest rate (in decimal form)
  • n = term of the loan (in months)

Given:

  • P = 15000
  • i = 5% / 12 = 0.05 / 12
  • n = 5 years = 60 months

Substitute the given values into the formula and solve for PMT:

\implies \sf PMT=\dfrac{15000\left(\frac{0.05}{12}\right)\left(1+\frac{0.05}{12}\right)^{60}}{\left(1+\frac{0.05}{12}\right)^{60}-1}

\implies \sf PMT=283.0685047...

Therefore, the monthly payments will be $283.07.

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Anarel [89]

Well to my knowledge we need to find <span>how many people with that amount equal 2 for the amounts of peanuts. So lets go one by one.</span>


2 friends = 4/5 of a bag of peanuts left together. - 0.8 left 

<span>3 friends = 6/5 of a bag of peanuts left together. - 1.2 left </span>

<span>4 friends = 8/5 of a bag of peanuts left together. - 1.6 left </span>

<span>5 friends = 10/5 of a bag of peanuts left together. - 2 left </span>

<span>So, there are 5 friends total.         

5 friends     

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5 0
3 years ago
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Johnny had $20 to purchase school supplies. He bought 5 glue sticks and 4
Romashka-Z-Leto [24]

Answer:

$7.09

Step-by-step explanation:

$0.59(5) = $2.95

$2.49(4) = $9.96

$9.96 + $2.95 = $12.91

Subtract $12.91 from the original amount Johnny had.

$20 - $12.91 = $7.09

(you can use a calculator to check my answer if you want:)

3 0
3 years ago
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what is the factorization of the trinomial below -x^2+x+42 A. (x+6)(x-7) B. -1(x+7)(x+6)C. -1(x-7)(x+6) D. (-x+6)(x+7)
IRISSAK [1]

Answer:

-(x - 7)(x + 6)

Step-by-step explanation:

Step 1: Factor GCF

-1(x² - x - 42)

Step 2: Factor quadratic

-1(x - 7)(x + 6)

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3 years ago
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Math problems katya has a recipe that needs 3/4 teaspoon of salt for 1 1/2 cups of sugar if she used 2 1/2 cups of sugar how muc
Eddi Din [679]
She needs 1 1/4 teaspoons of salt
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3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5
DanielleElmas [232]

Answer:

1

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that csc(x)=1/sin(x) and sec(x)=1/cos(x).

Thus:

\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}

=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }

Let's do the first part first: (Recall how to divide fractions)

\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}

For the second term:

\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}

So, all together: (same denominator; combine terms)

\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}

Note the numerator; it can be derived from the Pythagorean Identity:

sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)

Thus, we can substitute the numerator:

\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1

Everything simplifies to 1.

7 0
3 years ago
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