Henry invested $59,000 in an account paying an interest rate of 2% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?

Answer:

[tex]v=\sqrt{\frac{2KE}{m} }[/tex]

Step-by-step explanation:

[tex]KE = 1/2mv^2[/tex]

[tex]KE/1/2=mv^2[/tex]

[tex]2KE=mv^2[/tex]

[tex]2KE/m=v^2[/tex]

[tex]\sqrt{2KE/m} =v[/tex]

Answer:

The addition expression to represent the situation is $143 + ( - $40 ) + ( $92)

Sum is $195

Step-by-step explanation:

Given: Olivia has $143 in the bank. She withdraws $40. Then she deposits $92

To find:  addition expression to represent the given situation. Also, to find the sum

Solution:

Amount in the bank = $143

Amount withdrawn from the bank is denoted by the minus sign

So, amount withdrawn from the bank = - $40

Amount deposited in the bank is denoted by the plus sign

So, amount deposited in the bank = +$92

Therefore,

the addition expression to represent the situation is $143 + ( - $40 ) + ( $92 )

Also,

$143 + ( - $40 ) + ( $92 ) = $143 - $40 + $92 = $195

Answer:

The answer would be 10 cups

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

Answer:

I think its C: 102

Step-by-step explanation:

78 + x = 180

180-78 = 102

Answer:

um what's your math on??

Answer: 0.4m

Step-by-step explanation:

From the question, photographer takes a picture of a train travelling at the speed of 40m/s and the camera takes 0.01sec to take picture. We want to know the distance that the train travelled in this time.

Distance = speed × time

Distance = 40m/s × 0.01s

= 0.4m

Answer:

Step-by-step explanation:

a x 0.1 = 15

.1a = 15

a = 15/0.1

a = 150

Answer:

The answer is 150

Step-by-step explanation:

You would have to mutiply 0.1, 150 times. Then you would get 15.

Hope this helps

brainliest if correct :)

Answer:

75 Dragons

Step-by-step explanation:

We know that the ratio is 5 dragons and 4 knights.

Now, there are 60 knights, meaning the original number of knights (4), was multiplied by 15. So, if one side is multiplied by 15, the other side must follow the same rule. So, 15 x 5 = 75.

There are 75 Dragons.

Answer:

75

Step-by-step explanation:

thats a lot of flipping dragons, you better hope they are the size of a dog or youre flipping dead

Answer:

x = 11

Step-by-step explanation:

(-x + 11)(x + 3)= 0

-x + 1 1 = 0 or x+3 = 0

-x = -11 or x = -3

x=11 or x=-3 (rejected cos negative)

Answer:

$150

Step-by-step explanation:

5+10+30+100+5=150

10

Step-by-step explanation:

The way I look at it I think 10.00 cause it says I had in the beginning k and it says what people gave me and at the end it says what I had as well so I had 5.00 in the beginning and then I had another 5.00 so that makes it 10.00 in all realatly really let me know if I'm right as it's the only thing that makes since with it all..... lol so the answer is 10.00.... so if it would of said how much do I have all together then it would be what my granddaughter said but it didn't. It's a tricky question here and a good one to get people thinking on it haaa haaa

Answer:

x=2

Step-by-step explanation:

DE=4x+2, EF=3x, and DF=16

DE=4(2)+2, EF=3(2), and DF=16

DE=10, EF=6, and DF=16

Answer:

98 °

Step-by-step explanation:

We know that the sum of the angles in a triangle is 180. We also know that angle DAB is 122°, meaning that angle CAB is 180-122, which is 58°. We also know that angle CBA is 24 degrees. Therefore, angle x is just 180-(58+24), which is 98

Answer:

V=πr2h

3

Step-by-step explanation:

Answer:

15 cm³

Step-by-step explanation:

The formula for the volume of a cone is:

V = πr²h /3

where r is the radius and h is the height

Let's substitute the given values into this equation:

V = πr²h /3

(Remember that the base of a cone is a circle and the formula for the area of a circle is πr²)

V = πr²h /3

V = (5)(9/3)

Solve:

V = (5)(9/3)

V = (5)(3)

V = 15

Therefore, the volume of the cone is 15 cubic centimeters.

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

[tex]\frac{97}{8}[/tex]

Answer: 168 people have to attend

Step-by-step explanation: 2520÷15= 168...just divide it to get it, if it help pls mark as brainliest ^-^, Thank you!

Answer:

Exact form:

130/21

Decimal form:

6.190476 (repeating decimal)

Mixed number form:

6 4/21

the answer is 2.

when u solve 4-4x+ x^2

you will get your answer 2..

Answer:

In an isosceles triangle the base angles are congruent, meaning that the "missing" angle is also a. This means that 40 + a + a = 180 because the sum of angles in a triangle is 180.

40 + a + a = 180

40 + 2a = 180

2a = 140

a = 70°

Answer:

45.88%

Step-by-step explanation:

We have in this case a binomial distribution when p = 0.25, since the probability is 25%

. The formula that we will use in excel is BINOM.DIST, separated by commas we must put the value of x, n, p and also if it is true or false. We know that n equals 32.

In this case we need to know when x = 7, 8 and 9 and add this, and thus we will obtain the probability:

P (X = 7) + P (X = 8) + P (X = 9)

Excel formulas: = BINOM.DIST (7,32,0.25, FALSE) + BINOM.DIST (8,32,0.25, FALSE) + BINOM.DIST (9,32,0.25, FALSE)

P = 0.1546 + 0.1610 + 0.1431

P = 0.4588

Probability that steve agrees with the company's claim 45.88%

Answer:

Step-by-step explanation:

AL is congruent to EK, and angle K is congruent to angle L. The only other congruency not marked but you know to be true is that, by the reflexive property, side AE is congruent to side AE. But that would give us a congruency statement SSA which is not actually a way to prove triangle congruency (you'll learn why if you take pre-calculus). So none of the choices work for what you're given.

Answer:

The watch is cheaper in Geneva, Switzerland by a value of £20

Step-by-step explanation:

To get the city in which the watch is cheaper, what we need to do is to express the price of the watch in the same currency.

Since pounds is also used in the b part of the question, it would be easier working with it.

In Geneva, the price of the watch is 193.75 CHF

from our conversion formula;

£1 = 1.55 CHF

£x = 193.75 CHF

We cross multiply to get the value of x

(193.75 * 1)/1.55

= 193.75/1.55 = £125

We can see that the watch costs less in Geneva and higher in Manchester

By how much is it cheaper?

We can calculate this by subtracting the value in Geneva from the value in Manchester

That would be 145-125 = £20 cheaper

Divide total miles driven by number of gallons of gas used.

243 miles / 9 gallons = 27 miles per gallon

324 miles / 12 gallons = 27 miles per gallon.

She can drive 27 miles on one gallon of gas.

Answer:

I think its a trapezium

area of trapezium= 1/2×(sum of parallel sides) ×height

1×(28+26)×18

2

1/2×54×18

54×9

= 586 km²

hope it helps

Answer:

Step-by-step explanation:

(3-7)/(-2+1)= -4/-1= 4

y - 7 = 4(x + 1)

y - 7 = 4x + 4

y = 4x + 11

⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔

the answer which you have done is correct !

Answer:

452.39 sq.unit is the area of that circle.

Answer:

Option C

Step-by-step explanation:

Correct answer is option C

This is not a perfect square