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3 years ago

Someone Please help me..What must the value of x be in order for the figures below to be similar?

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

3 0

Answer:

16 cm

Step-by-step explanation:

x+x

8+8

16 cm

therefore 16 cm must be the value of x be in order for the figures below to be similar

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Simultaneous equation<br><br> 3x+y=16<br><br> What's the answer?

Elanso [62]

Easy
3x + y = 16
Substract -y both sides
3x = -y + 16
Now divide both sides by 3
Answer is x= -1/3 + 16/3

8 0

3 years ago

Seth has a bank account which pays 1.01% interest, compounded quarterly. Seth withdraws $4,567 from the account every quarter fo

dimulka [17.4K]

Answer:

C. $538,021.66

Step-by-step explanation:

It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,

Amount withdrawn every quarter, P = $4567

Rate of interest, r = $\frac{0.0101}{4}$ = 0.002525

Time period, n = 35 × 4 = 140

Now, as we know the formula for annuity as,

$P=\frac{r \times PV}{1-(1+r)^{-n}}$

where P = installments, PV = present value, r = rate of interest and n = time period.

This gives, $PV=\frac{P \times [1-(1+r)^{-n}]}{r}$

i.e. $PV=\frac{4567 \times [1-(1+0.002525)^{-140}]}{0.002525}$

i.e. $PV=\frac{4567 \times [1-(1.002525)^{-140}]}{0.002525}$

i.e. $PV=\frac{4567 \times [1-0.7021]}{0.002525}$

i.e. $PV=\frac{4567 \times 0.2975}{0.002525}$

i.e. $PV=\frac{1358.68}{0.002525}$

i.e. $PV=538,091.08$

So, the closest answer to initial value of the account is $538,021.66

Hence, option C is correct.

6 0

3 years ago

Read 2 more answers

The function h = -16t2 + 1700 gives an object’s height h, in feet, at t seconds.

katen-ka-za [31]

What do you want me to solve for?

3 0

3 years ago

The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?

notsponge [240]

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

= 17 - (5+4)

= 17 - 9

= 8 inches

7 0

3 years ago

Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3

Aleksandr [31]

Answer:

40 sandwiches

Step-by-step explanation:

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

Add 15 tuna sandwiches

2x : 3x+15

Now the ratio is 1:3

egg sandwiches : tuna sandwiches

1 : 3

Multiply by y because we do not know how many sandwiches, just the ratio

y : 3y

Set the number of egg sandwiches equal

2x =y

then set the number of tuna sandwiches equal

3x+15 = 3y

We know have a system of 2 equations and 2 unknowns

Substitute y =2x into the second equation

3x+15 = 3(2x)

Distribute

3x+15 = 6x

Subtract 3x from each side

3x-3x+15 = 6x-3x

15 =3x

Divide by 3

15/3 = 3x/3

5 =x

egg sandwiches : tuna sandwiches

2 : 3

Multiply by x because we do not know how many sandwiches, just the ratio

2x : 3x

2*5 3*5

10 15

He originally made 10 egg sandwiches and 15 tuna sandwiches

Then he made 15 more tuna sandwiches

The total number of sandwiches he made is

10+15+15 = 40 sandwiches

5 0

3 years ago