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muminat
3 years ago
12

The ______ of a vector v is produced by subtracting the coordinates of the initial point from the corresponding coordinates of t

he terminal point.
Mathematics
1 answer:
Alla [95]3 years ago
4 0

Answer:

< y_2-y_1,x_2-x_1>

Step-by-step explanation:

Let the coordinate of initial point is (x_1,y_1) and the final that is coordinate of the terminal point is (x_2,y_2) we have to find the vector which formed by subtraction of final point that is terminal point and the initial point

So the vector will be < y_2-y_1,x_2-x_1>

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Jane wishes to have 20,000 available at the end of 10 years so she deposit money into an account that pays 1.14% compounded mont
max2010maxim [7]

Answer:

\$17,846.12  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ A=\$20,000\\ r=0.0114\\n=12  

substitute in the formula above  

\$20,000=P(1+\frac{0.0114}{12})^{12*10}  

P=\$20,000/[(1+\frac{0.0114}{12})^{120}]  

P=\$17,846.12  

5 0
3 years ago
Find the area of a triangle with sides of length 6 and 7 and included angle 74°. (round your answer to one decimal place.)
Yanka [14]
We use this formula:
<span>Area = ½ • side 1 • sine (A) • side 2
</span>Area = <span>½ • 6 • sine (74) • 7
</span><span>Area = <span>21 • sine (74)
Area = 21*0.96126
Area = </span></span><span><span><span>20.18646 </span> </span> </span>
Area = 20.2 (rounded)
Source:
http://www.1728.org/triang.htm


5 0
3 years ago
Help me, Thanks!!
Marrrta [24]

2.) dT/dt = -t^2 + 3t

dT = (-t^2 + 3t)dt

T = -t^3/3 + 3t^2/2 + C

at 4:00 AM

80 = -4^3/3 + 3*4^2/2 + C

C = 80 + 4^3/3 - 3*4^2/2

C = 77.33

T = -t^3/3 + 3t^2/2 + 77.33

at 8:00 AM

T = -8^3/3 + 3*8^2/2 + 77.33

T = 2.67 deg

5 0
3 years ago
Find the value of y round your answer to the nearest tenth cos y y=8/13
Iteru [2.4K]

8/13 = 0.6153

y = cos-1(0.6153)

y = 52.0

I'm not totally sure if this is what you mean or if this is.

y = cos(8/13) = 0.9999 which to the nearest tenth is 1.0

7 0
3 years ago
Read 2 more answers
By paying $1500 cash and the balance is equal monthly payments, how many months would it take to pay for a car costing $12,495?
Elden [556K]

The monthly installments need to be paid is $10995.

To determine the number of months needed to pay off the remaining balance. We need to know the monthly installment.

<h3>What is installments?</h3>

When you get an installment loan, you get the money you borrowed or the item you bought right away.

  • You pay it off in installments, which are regularly scheduled payments that may include interest.
  • For a set number of months, or years, you generally owe the same amount on every installment.
  • When the loan is fully repaid, the account is permanently closed.

Now, as per the question;

Amount paid in cash = $1500

Remaining balance which is to be paid as monthly installments

= $12495 - $1500

=$12495 − $1500

=$10995

Thus, the monthly installments are $10995.

Now, to determine the number of months needed to pay off the remaining balance. The monthly installment is need to be known.

As a result, information on monthly installments is lacking.

To know more about the installments, here

brainly.com/question/16032019

#SPJ4

The complete question is-

What necessary piece of information is missing that prevents solving the problem? By paying $1500 cash and the balance in equal monthly payments, how many months would it take to pay for a car costing$12,495?

4 0
2 years ago
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