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3 years ago

What is x? I have been having trouble with these

Mathematics

1 answer:

Wittaler [7]3 years ago

3 0

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (whole secant) x (external part)

(6+x) * 6 =(5+x+3) *5

(6+x) * 6 =(x+8) *5

Distribute

36+6x = 5x+40

Subtract 5x from each side

36+6x-5x = 5x-5x+40

36+x = 40

Subtract 36 from each side

36+x-36 = 40-36

x = 4

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3 years ago

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Vinvika [58]

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Step-by-step explanation:

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3 years ago

A couple needs $55,000 as a down payment for a home. If they invest the $40,000 they have at 4% compounded quarterly, how long w

slava [35]

Answer:

8 years

Step-by-step explanation:

Compound interest formula

$A(t)= A_0(1+\frac{r}{n})^{nt}$

A(t) is the final amount 55000

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divide both sides by 40000

$1375=(1+\frac{0.04}{4})^{4t}$

$1375=(1.01)^{4t}$

Take ln on both sides

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divide both sides by ln(1.01)

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3 years ago

The mean length of 5 childrens' index finger is 5.6cm.

Brilliant_brown [7]

The mean length (rounded to 2 DP) of these 8 people's index finger is 5.83

<h3>What is the mean length (rounded to 2 DP) of these 8 people's index finger?</h3>

The given parameters are:

<u>Children</u>

Mean = 5.6 cm

Frequency = 5

<u>Adult</u>

Mean = 6.2 cm

Frequency = 3

The mean length of these 8 people's index finger is calculated as:

$\bar x = \frac{\sum fx}{\sum f}$

So, we have

Mean = (5.6 * 5 + 6.2 * 3)/(5 + 3)

Evaluate

Mean = 5.83

Hence, the mean length (rounded to 2 DP) of these 8 people's index finger is 5.83