Lucas deposits $4,000.00 for 6 years at 2% interest, compounded monthly. How much interest does he earn at the end of the 6 years? Round to the nearest cent. SHOW THE WORK PLEASE​

Step-by-step explanation:

A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km.

find her speeds for both parts of the journey.

:

let s = his original speed

then

(s+9) = the increased speed

:

Write a time equation; time = dist/speed

146%2Fs = 164%2F%28%28s%2B9%29%29

cross multiply

164s = 146(s+9)

164s = 146s + 1314

164s - 146s = 1314

18s = 1314

s = 1314/18

s = 73 km/h is his original speed

:

Answer:

x=-14/3,y=14/3 but if there is x at the second wan.then,x=19/2,y=-1

Answer:

6.75cm

Step-by-step explanation:

The straw fits diagonally inside the can so it makes a right angled triangle with height and base of the can ( which is the diameter of the can)

So, hypotenuse = length of straw = 22.5cm

perpendicular = 18cm

base = diameter of can(d)

Using pythagoras theorem

h² = p² + b²

(22.5)² = 18² + d²

506.25 = 324 + d²

d² = 506.25 - 324

d² = 182.25

d = 13.5cm

Now radius = d/2 = 13.5/2 = 6.75cm

Answer: Rectangle, Rhombus, Square

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

4(1)+2(3)=10

Nora would score 10 and for  x free throws and y three point shots x + 3y.

When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.

One-variable linear equations and two-variable linear equations exist.

Given

points on free throws = 1

points on 4 free throws = 4x1 = 4

and  points on 2 three point shot = 2x3 = 6

total points are 4 + 6 = 10

and if she made x free throws then points are = 1x

and for y three point shots = 3y

total points for x free and y three point shots

x + 3y

Hence the points are 10 and x + 3y.

Learn more about linear Equation;

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Answer:

148 degrees

Step-by-step explanation:

360 - 74 - 138 = 148 degrees

Answer:

.................hshs

Answer:

Hotel B is the least expensive

Step-by-step explanation:

Given

See attachment for clear details

Required

The least expensive

To do this, we simply divide the total cost by the number of nights to get the unit price

i.e.

[tex]Unit = \frac{Price}{Nights}[/tex]

Hotel A

[tex]Nights = 3\\Price= 192[/tex]

[tex]Unit = \frac{192}{3}[/tex]

[tex]Unit = \$64[/tex] per night

Hotel B

[tex]Nights = 5\\Price= 300[/tex]

[tex]Unit = \frac{300}{5}[/tex]

[tex]Unit = \$60[/tex] per night

Hotel C

[tex]Nights = 7\\Price= 455[/tex]

[tex]Unit = \frac{455}{7}[/tex]

[tex]Unit = \$65[/tex] per night

From the calculations above;

Hotel B is the least expensive because 60 is less than 64 and 65

Step-by-step explanation:

Which expressions are equivalent to -1/4(16−12+8x)?

Select all that apply.

A. 4+3−2x

B. 2x+1

C. −2x−1

D. x

E. −4+3−2x

F. 2x−

Answer:

2

Step-by-step explanation:

The greatest common factor is 2

Answer:

2

Step-by-step explanation:

2 is the greatest number that will go into both 12 and 26.

Hope this helps

- Please mark brainliest :)

Answer:

Jacoby is correct.

Step-by-step explanation:

Shop A= $6 ÷ 2 = $3/pound

Shop B= $15 ÷ 5 = $3/pound

Answer:

(A) V = π(8)²h

Answer:

$3941.57.

Step-by-step explanation:

Given,

Principal,P = $3,500

rate of interest,r = 2%

Time, n = 6 years

Now, the total amount Luca has to repay is:

[tex]A = P(1+\frac{r}{100})^n[/tex]

A is the total amount.

[tex]A = 3500\times (1+\frac{2}{100})^6\\A = $3941.57[/tex]

Hence, the total money he has to repay is $3941.57.

Answer:

13000m

Step-by-step explanation:

Given data

Total distance travelled=  65,000

Number of days= 5 days

Hence the distance covered per day is

= 65,000/5

=13000m

Therefore the distance covered per day is 13000m

Answer: 10 miles

Step-by-step explanation:

You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:

3x = 30.00

and then divide both sides by 3:

x = 10

So she traveled 10 miles.

The Taxi ride was 10 miles.

An equation is an expression that shows the relationship between two or more numbers and variables.

We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out the miles she traveled.

Then subtract 3.20 from both sides:

3x = 30.00

then divide both sides by 3;

x = 10

Therefore, she traveled 10 miles.

Learn more about equations here;

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Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.

Step-by-step explanation

Just took a test on this, I passed

Answer:

rectangle

Step-by-step explanation:

Answer:  Rectangle

Step-by-step explanation: Hope this helps ! :)

Answer:

B

Step-by-step explanation:

A(-3 , 3) -> A'(-9 , 9)

B(3 , 3) -> B'(9 , 9)

C(3 , 0) -> C'(9 , 0)

A'B'C' is a dilation of ABC about the origin with factor of 3

ΔA'B'C' ~ ΔABC: all the corresponding angles are the same measurement

Answer:

Step-by-step explanation:

The angles would be supplementary

45 + 5x + 35 = 180

5x + 80 = 180

5x = 100

x = 20

To find out why they are supplementary, refer to the transversal below

∠3 = ∠7 (corresponding angles)

∠8 = 180 - ∠7 (supplementary angles)

And since ∠7 = ∠3...

∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)

Answer:

Lesser returns > T bills

Higher risks > A-rated bonds

Costly and time consuming > Property

No steady cash flow > stocks

Step-by-step explanation:

I just took the test

Answer:

8

Step-by-step explanation:

y = (-3/4)x + c

Sub (11,-1) into the equtaion

-1 = (-3/4)(11) + c

c = 29/4

y = (-3/4)x + 29/4

when x = -1,

y = (-3/4)(-1) + 29/4

y = 8

r = 8

Answer:

78.54 m

Step-by-step explanation:

To obtain how much circular fence, we obtain the Circumference of the circular playground.

The Circumference of a circle, C = 2*pi*r

pi = 3.14 ; r = diameter / 2 = 25 /2 = 12.5 m

C = 2 * 3.14 * 12.5

C = 78.539816

Hence, the fencing which need to go up is ;

78.54 m

Answer:

172,872÷6=28,812.33 I believe this is the answer

Answer:

12

Step-by-step explanation:

Answer:

there are 12 men

Step-by-step explanation:

men:3×4=12

woman:8×4=32