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brilliants [131]
3 years ago
12

Drag and drop the constant of proportionality into the box to match the table.

Mathematics
1 answer:
trapecia [35]3 years ago
8 0

Answer:

2/3

Step-by-step explanation:

To find the constant of proportionality in the set of data apply the formula for slope where;

m= Δy/Δx

Taking values such as {3,2} and {6,4} then

m= 4-2 / 6-3

m= 2/3

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Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba
Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

  • Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}

\:A=2500\left(1+\frac{0.05}{6}\right)^{48}

A=2500\times 1.48935      ∵  \left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935

A=\:3723.38 $

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

8 0
2 years ago
Divide the given polynomial by the given monomial 3 x square - 2 x divided by X ​
inna [77]
Dividing (3x^2-2x) by x gives out 3x-2
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2 years ago
Find the value of x to the nearest tenth.<br> tan 34° = 20
Likurg_2 [28]

Answer:

The value of x = 13.5.

Step-by-step explanation:

<u>In this question x is missing.</u>

<u>So, the question would be:</u>

<u>tan 34° = x/20.</u>

Now, to find the value of x:

tan 34 = \frac{x}{20}

\frac{x}{20} = tan 34

Multiplying both sides by 20 we get:

x=tan 34\times 20

On simplifying both sides we get:

x=13.49

So, to get the value of x=13.49 to nearest tenth is 13.5. As we see in hundredth place it is 9 and 4 in tenth place, so after rounding to tenth place 4 will change to 5 so the value is 13.5.

Therefore, the value of x = 13.5.

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2 years ago
Amy wants to carpet a room that is 12 feet by 8 feet.
Alex17521 [72]
1\ ft=0.333\ yards\\8\ ft=8\cdot0.333=2.664\ yards\\12\ ft=12\cdot0.333=3.996\ yards\\\\2.664\cdot3.996=10.645\ square\ yards\\\\She\ need\ 10.645\ square\ yards\ of\ carpet.
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