$800 is deposited in an account that pays 9% compounded semi-annually. Find the balance after 4 years.

Answers

Answer 1

Answer: The formula for compound interest is the following:

A=P(1+r/n)^nt
A=accumulated amount (what we're looking for)
P=Principal amount (initial amount). $800 in this case
r=rate. 0.09 in this case which we get from converting 9% to decimal by dividing by a 100.
n=number of times interest is compounded. In this case semi-annually which means 2
t=time. In this case 4 years
Let's calculate:
A=800(1+0.09/2)^(2*4)
A=800(1+0.045)^8
A=800(1.045)^8
A=800(1.42210061284)
A=1137.68049027
Let's round to the hundredth place (to represent cents) since the amount represents money.
Answer=The balance after 4 years will be $1,137.68

Answer 2

Answer:

Answer:

Principal = $ 800

Time = 4 years

Rate of Interest = 9% compounded Semi Annually

$=(9\pr)/(2)$

Time = 4× 2=8 periods

As, we have to find balance after 4 years, so we will use the formula for amount in terms of Compound interest.

Amount(A)

$A=P[1+(R)/(100)]^n\n\n A=800* [1+(9)/(200)]^8\n\n A=800 * [(209)/(200)]^8\n\n A=800 * (1.045)^8\n\n A=800 * 1.422\n\n A=1137.680$

Balance after 4 years = $ 1137.68

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Answers

(0.14×675×52)÷(2×12)=204.75
675+204.75==879.75
879.75/24==36.65

A team of runners is needed to run a 1/3 mile relay race. If each runner must run 1/9 mile, how many runners will be needed.

Answers

Three runners will be needed. 1/3 is .3 and 1/9 is .1 since they all need to do 1/9 of a mile that makes the answer 3.

Answer: 3

Step-by-step explanation:

Raphael graphed the functions g (x)=x+2 and f (x)= x-1. how many units below the y-intercept of g (x) is the y-intercept of f (x)? the y-intercept of f (x) is ____ units below the y-intercept of g (x)

Answers

In our equations, you can use the generic form of y = mx + b to determine the y-intercept for the function, with b equal to the y-intercept. For g(x), b =2 and for f(x), b=-1. These values are the y-intercepts for the functions. Based on this, the y-intercept of f(x) is 3 units below the y-intercept of g(x). We know this because we can subtract the b value from f(x) from g(x) to get the difference. Difference = 2 - (-1) = 3.

Answer:

(D) 3

Step-by-step explanation:

I just took the test.

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Factor completely 10xy + 3y + 20ax + 6a.(10x − 3)(y − 2a)

(10x − 3)(y + 2a)

(10x + 3)(y + 2a)

(10x + 3)(y − 2a)

Answers

Answer:

Option 3 is correct.

Step-by-step explanation:

The given expression is

$10xy+3y+20ax+6a$

This expression can be written as

$(10xy+3y)+(20ax+6a)$

Take out the common factors from each parenthesis.

$y(10x+3)+2a(10x+3)$

Now, take out the common factor (10x+3).

$(10x+3)(y+2a)$

Therefore option 3 is correct.

10 xy + 3y + 20 ax + 6a = y(10x+3) + a(20x+6) = y(10x+3)+2a(10x+6)=
(y+2a)(10x+3)

How could you change exercise 5 so that your rule uses the inverse operation?

Answers

In order to answer that question, I would absolutely have to see exercise 5.
(So would you.)

HOTS... Just solve this questions

Answers

Answer:

Step-by-step explanation:

8. B is the midpoint of AD

A (x,y)

D( -1,3) B ( (x-1)/2, (y+3)/2) and B ( 1,1)

then (x-1)/2=1, x-1=2 ( +1) , x= 2+1, x=3

(y+3)/2=1, y+3=2 ( -3) y=2-3, y= -1

then A (3, -1)

9. (-8,3)

(s,3) the midpoint (0,u)

then (s-8)/2=0, s=8

(3+3)/2=u, u=6/2, u= 3

10. a=1 ( the y coordinate is the same as the midpoint

A(3,1)

B(x,y) the midpoint (5,1)

(3+x)/2=5, 3+x=10 , x=10-3, x=7

(y+1)/2=1, y+1=2,y=2-1, y=1

B(7,1)

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