Directions: Determine how much Marco would be paid
for 10 weeks work.
Marco is initially paid $75 per week and then 2.5%
more each week than the previous week.

Answers

Answer 1

Answer:

766.87 is how much he is paid in all.

Step-by-step explanation:

2.5% of 75 is 1.875. 1.875 times 9 is 16.875. 75 times ten is 750. add together to get the whole.

Answer 2

In 10 weeks she will be paid a total of $840 with 2.5% more each week.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, a = 75 and r = 1.025.

We know the sum of a geometric sequence is Sₙ = a(rⁿ - 1)/(r - 1).

∴ S₁₀ = 75(1.025¹⁰ - 1)/(1.025 - 1).

S₁₀ = 75(1.28 - 1)/(0.025).

S₁₀ = 75(0.28)/0.025.

S₁₀ = 840.

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Related Questions

2(2x) + 10 = 3x + 13

Please help

Answers

Answer:

x = 3

Step-by-step explanation:

:))

Answer:

−3+2(2)=3

Step-by-step explanation:

2(2)+10=3+13

2(2x)+10−10=3+13−10

the domain of a relation is

Answers

Answer: All of the values that can go into a relation or function (input) are called the domain. The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

i need help with #11!

Answers

The answer is: A.....
It’s A because D is showing the total hours if you multiply 12x12 and the same for C it’s just an equation. So your answer is A

Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent

Answers

Answer:

 [tex]no[/tex]

Step-by-step explanation:

Lets solve the first half.

[tex]-4 ( x - 6) = -4x + 24[/tex]

Second one:

[tex]-4 times x - 4 times 6 = -4x -24[/tex]

Now compare.....Not the same right??

So your answer is:  [tex]no[/tex]

Hope this helps :)

1 3/7 x 2 3/4=?
A)3 9/28
B)2 9/28
C) 2 13/14
D) 3 13/14

Answers

Answer:

the answer is D

Step-by-step explanation:

Exact Form: 55 /14

Decimal Form:  3.92857142

Mixed Number Form: 3  13 /14

Please please help please ASAP

Answers

Answer:

VT = 50√3 , PT = 50

Step-by-step explanation:

Given

PV = 100

With reference angle 60°

hypotenuse (h) = 100

perpendicular (p) = ?

Now

Sin 60° = p/h

√3 / 2 = p / 100

p = √3 * 100 / 2

p = 50√3

Also

With reference angle 30°

hypotenuse (h) = 100

perpendicular (p) = ?

sin 30° = p/h

1/2 = p / 100

p = 100 / 2

p = 50

Hope it will help :)

If −105 = −7 5 + 2 , then −2 =?

Answers

Answer:

-8

Step-by-step explanation:

If you fold a paper 3 times how many rectangles do you get???

Answers

Answer:

8 rectangles

Step-by-step explanation:

I just folded a piece of paper three times and I counted 8 rectangles!

Answer:

8

Step-by-step explanation:

I need help asap pls

Answers

9514 1404 393

Answer:

  a) ∠DAE = 33°; ∠ABD = 57°

  b) ∠CEB = 90°

  c) ∠ABE = 22°

  d) ∠ADE = 15°

Step-by-step explanation:

The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.

a) ∠DAE = 90° - ∠ADE = 90° -57°

  ∠DAE = 33°

  ∠ADE = ∠ABD = 57°

__

b) ∠CEB = 90° . . . . . the diagonals meet at right angles

__

c) ∠ABE = 44°/2

  ∠ABE = 22°

__

d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2

  ∠ADE = 15°

Choose the answer based on the most effecient method as presented in the lesson. If the first step in the solution of the equation -9+x=5x-7 is subtract x, then what should the next step be
A.) subtract 5x
B.) add 7
C.) add 9

Answers

Answer:

Correct answers A) Subtract 5x

Step-by-step explanation:

If your scale factor is negative, the image will be rotated 180 degrees?

Answers

Answer:

yes it's rotated 180 degree angle

PLEASE HELP!! If you can show your work. I wanna know how you solved it. :)
Daniel has 47 coins. Some are nickels and some are dimes. He has 5 more nickels than dimes. How many
nickels does he have?
Equation 1:
Equation 2:
# of nickels:

Answers

Answer:

:) i have no idea have a good day hope u get it

Step-by-step explanation:

Diameter = 28 cm.
H = 25 cm.

Answers

what’s the question?

The phrase "This is just the tip of the iceberg" is often used. It refers to the huge masses of ice that float in the oceans and only show a small fraction of their structure on the surface. Most of the icebergs hide below the water level. Based on the diagram below, what is the likely density of icebergs? (The density of salt water in the oceans is 1.03 g / ml.)
PLS HELP I WILL GIVE BRAINLIEST ASAPP THIS IS URGENT

Answers

Answer: 0.90 g/cm3

Step-by-step explanation:

Their ratio is given by the mass density of ice: M/V = Rhoi ~ 0.90 g/cm3 (iceberg ice is more dense than normal ice since it has been compressed by thousands of years of pressure - normal ice is 0.917 g/cm3).

Answer:

Basal melting of floating ice shelves and iceberg calving constitute the two ... of the Southern Ocean free of large icebergs are largely populated by small iceberg  the hidden part, which is the most important in terms of effort and often the most  So this work explores use of NISAR to map surface structures visible on ice

Step-by-step explanation:

during a card game you are playing with your friends you score 38 points your friend scores 53 points in the next round you score 9 points and your friend loses 6 points who is winnings the card game?
a. your friend
b. you
c.it is a tie

Answers

Answer:

b

Step-by-step explanation:

I think it’s b , but don’t take my word for it


An employee put $10,000 in a retirement
account that offers 4% interest
compounded annually.
The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest
the employee will have earned at the end of 12 years?
A) $4,520.14
B) $5,200.36
C) $6,010.32
D) $2,340.18

Answers

I would say it’s B it’s makes the most sense overall and the others are just to small or to large to be correct

help me please.............................................

Answers

Answer: it is C

Step-by-step explanation:

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.

P (both dimes).
Show work!!!!!

Answers

4/40 18/40 10/40 8/40

The probability of choosing two dimes consecutively without replacement is 0.196.

i.e

P (both dimes) = 0.196

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The total number of coins.

= 4 quarters + 18 dimes + 10 nickels + 8 pennies.

= 40

The probability of choosing a dime.

= 18/40

The probability of choosing a dime without replacing the first dime.

= 17/39

The probability of choosing two dimes.

= 18/40 x 17/39

= 306 / 1560

= 0.196

Thus,

P(both dimes) = 0.196

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Apples cost four times as much as oranges per pound. Apples are $2.80 per pound. How much do oranges cost per pound? *
$11.20
$1.20
$0.70
$1.70

Answers

Step-by-step explanation:

Apples cost four times as much as oranges per pound.

If the cost of orange =x

then, cost of apples =4x

But,

the costs of apples =2.80$

So,4x=2.80

[tex]\tt{ x=\dfrac{2.80}{4} }[/tex] ⠀

[tex]\tt{ x=0.70\$ }[/tex] ⠀

so,oranges costs for per pound =0.70$

Please help me i don't know what else to put here.........................

Answers

ANSWERRR
1. 15%
2.20%
3.45%

again help plssssss!

Answers

Answer:

Step-by-step explanation:

6t =9

the answer is 6t = 9

For each 7 mm of coloured fabric Paul uses to make his curtains, he also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.

Answers

9514 1404 393

Answer:

  20 : 7

Step-by-step explanation:

2 cm = 20 mm, so the ratio of white to colored fabric is ...

  20 mm : 7 mm = 20 : 7

hi I need help is this true or false?

Answers

Answer:

B

Step-by-step explanation:

ABCD is a trapezium AD and BC are parallel

Answers

Part (a)

Answer:  12.1

-----------------------

Work Shown:

We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

Focus on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

x*sin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1

Make sure your calculator is in degree mode.

===================================================

Part (b)

Answer:  15.1

-----------------------

Work Shown:

Draw an xy coordinate grid.

Place point A at the origin (0,0).

Point B is 10 units above this, so B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.

Refer to the diagram below.

Apply the distance formula for the points C and D.

[tex]C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\[/tex]

[tex]d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\[/tex]

Segment CD is roughly 15.1 cm long.

a) The length of BD to 1 decimal place is 12.1

b) The length of CD to 1 decimal place is 15.1

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

Given ABCD is a trapezium AD and BC are parallel

we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

xsin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1 degree

Let xy coordinate grid. Place point A at the origin (0,0).

Point B is 10 units above this, B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0).

The 6.745085 solving tan(56) = 10/x for x.

Apply the distance formula for the points C and D.

D = √(18 - 6.745085)² + (10 -0)²

D = 15.1

Thus Segment CD is roughly 15.1 cm long.

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It takes 30 minutes for a
pump to empty a water tank. A larger pump can
empty the tank in half the time. If both
pumps were
operating, how long would it take to empty the tank?

Answers

Answer:

i believe 15 minutes

Step-by-step explanation:

MATH HELP ASSAP! MAKING BRAINLIST! QUESTION IN PIC

Answers

Answer:

The answed is a function

Step-by-step explanation:

Since there is one value of y for every value of x in the data the realtion is a function

Please help me! And get marked as brainlist!

Answers

Answer:

Step-by-step explanation:

a) area of the rectangle = length × breadth

Therefore area should be = 12cm × 6cm

Which should give you the answer 72centimetre squared.

b) area of triangle A = 1/2 × b × h

So that is 1/2 × 3 × 6

Which is 18 centimetres × 1/2

Which is 9 centimetres squared

c) area of triangle B = 1/2 × b × h

So 1/2×3×6=18

Now 1/2×18 should give you 9 centimetres squared

d) therefore the area of the parallelogram = 72+9+9=90 centimetres squared

Therefore the area of the parallelogram is 90 centimetres squared

please help i will mark you brainliest ​

Answers

the answer is a, 4 is adding to x

Answer:

The last one: Each y-value is determined by adding 2 to each x-value so the pattern is additive. Hope this helps, if not try the multiplying 2 one!

80% of what number is 190

Answers

80% of 190 = 152
THE ANSWER IS 152

Answer: I would have to say 237.5

                  (152 is 80% of 190)

Step-by-step explanation:

If 190 is 80% of a number then you need to reverse the process, .8 * 190 = 80% OF 190 but 190 / .8 = 237.5 which means that 190 is 80% of 237.5

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                                                       ^ω^

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Helpppppp me plzzzzzzzzzz

Answers

Answer:

21/4 or 5.25

Step-by-step explanation:

Answer:

5 1/4

Step-by-step explanation:

This is the answer because 1 3/4 as an improper fraction is 7/4 and 7/4 x 3/1 = 21/4 and that as a mixed number is 5 1/4

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