Jim received a $2000 loan from his bank. The loan accrues 3% interest every 3 months. How much will Jim owe the bank after 4 years? Round to the nearest cent

Answers

Answer 1

Answer:

Compound interest is the addition of interest. The interest that is needed to be paid by Jim in the 4 years of tenure is $2253.98.

What is compound interest?

Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,

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

We know that the Principal amount received by Jim is $2000, while the interest that Jim needs to pay is 3% quarterly, therefore, he needs to pay the interest 4 times a year. Thus, the value of n is 4.

Now, we know all the values therefore, substitute the values in the formula of compound interest,

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

$A = 2000(1+ (3)/(4))^(4 * 4)\n\nA = \$2,253.98$

Hence, the interest that is needed to be paid by Jim in the 4 years of tenure is $2253.98.

Learn more about Compound Interest:

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Answer 2

Answer:

Answer:

$2253.98

Step-by-step explanation:

Jim received a $2000 loan from his bank. The loan accrues 3% interest every 3 months.

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

P=2000

r= 3%=0.03 and t= 4 years

interest every 3 months so n= 4

$A=2000(1+(.03)/(4) )^(4 \cdot 4)$

$A=2000(1+(.03)/(4) )^(16)\nA=2000(1.0075)^(16)\n\nA=2253.98$

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How can I find the value of 78 x n when n= 3237

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Replace n with 3237 so you have 78*3237
And you get 252486 as your answer

How many acute angles does an obtuse triangle have

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Answer:

i think 2

Step-by-step explanation:

ya i think 2

Find the distance between the pair of points. Round to the nearest tenth, if necessary.

Answers

Answer: 6.7

Explanation

The two points in the diagram are (-2,-3) and (4,0).

We can form a right triangle and then compute the hypotenuse (using the pythagorean theorem). As a slightly related method, I'll use the distance formula.

$(x_1,y_1) = (-2,-3) \text{ and } (x_2, y_2) = (4,0)\n\nd = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\n\nd = √((-2-4)^2 + (-3-0)^2)\n\nd = √((-6)^2 + (-3)^2)\n\nd = √(36 + 9)\n\nd = √(45)\n\nd = √(9*5)\n\nd = √(9)*√(5)\n\nd = 3√(5)\n\nd \approx 6.708204 \ \ \leftarrow \ \text{ you'll need a calculator}\n\nd \approx 6.7$

The approximate distance is 6.7 units

I will upvoteWhat is the 12th term in the sequence?

Note: Use the explicit rule.

a_n=−16+2n

Enter your answer in the box.
a_12=

Answers

easy, sub 12 for n
a12=-16+2(12)
a12=-16+24
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You manage a health food store and budget $80 to buy ingredients to make 30 pounds of trail mix. Peanuts cost $2.50 per pound, raisins cost $2.00 per pound, and granola costs $4.00 per pound. If you use twice as many pounds of peanuts as raisins, how many pounds of each ingredients should you buy?

Answers

Answer:

8 pounds of raisin, 6 pounds of granola and 16 pounds of peanuts

Step-by-step explanation:

Lets form equations first.

->Peanuts cost $2.50 per pound, raisins cost $2.00 per pound, granola costs $4.00 per pound

2.50p + 2.00r + 4.00g= 80 -->eq(1)

-> bought ingredients to make 30 pounds of trail mix

p+ r+ g= 30 -->eq(2)

->If you use twice as many pounds of peanuts as raisins

2r=p

eq(1)=> 2.50p + 2.00r + 4.00g= 80

2.5(2r) + 2r +4g =80

5r + 2r + 4g =80

7r + 4g =80

eq(2)=>

2r+ r+ g= 30

3r + g =30

-4(3r + g =30)

7r + 4g =80

_______________

-5r = -40

r= 40/5 =>8

For 'g':

3(8) + g =30

g= 6

For 'p':

2r=p

p=16

therefore, 8 pounds of raisin, 6 pounds of granola and 16 pounds of peanuts should be bought

Final answer:

The solution to the problem is to buy 20 pounds of peanuts, 4 pounds of raisins and 6 pounds of granola.

Explanation:

This problem requires the use of algebra. Let's denote the amount of peanuts as x, the amount of raisins as y and the amount of granola as z. We have certain constraints according to the problem that need to be satisfied. These are:

2*y = x (since the amount of peanuts is twice that of raisins)
x + y + z = 30 (total weight should equal 30 pounds)
2.5x + 2y + 4z = 80 (total price should not exceed $80)

First, substitute x = 2y from the first equation into the other two equations. This gives you the new equations y + z = 10 and 9y + 4z = 80. Next, solve these simultaneous equations. The solutions are y = 4, z = 6. Substituting y into the first equation gives us x = 2*4 = 20. So, you should buy 20 pounds of peanuts, 4 pounds of raisins and 6 pounds of granola.

Learn more about Simultaneous Equations here:

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Verify csc^4 - cot^4= 2cot^2 +1

Answers

you can factor the left side of the equation to

(csc^2 + cot^2)(csc^2 - cot^2)

then, since cot^2 + 1 = csc^2, you can replace the csc^2 in the left parentheses with cot^2 + 1, and the cot^2 in the right parentheses with csc^2 - 1 (which equals cot^2)

then, youll end up with

(cot^2 + 1 - cot^2)(csc^2 + csc^2 - 1)

combine like terms, and the left parentheses becomes 1 (cot^2 - cot^2 = 0), and the right parentheses becomes 2csc^2 - 1.

1(2csc^2 - 1) = 2csc^2 - 1

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