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3 years ago

1). Solve using area model. Fill in the ? 3.421 X 7 = ? Please help

Mathematics

1 answer:

kvasek [131]3 years ago

5 0

3.421 x 7= 23.947

multiply don't line up the decimals when multiplying

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Please Help!!! I am totally lost!<br><br> Solve for x and find mangleABC.

kupik [55]

When something bisects an angle, it cuts that angle in half. This means that ray BD cuts angle ABC in half. Therefore, angle ABD, which is formed by cutting the angle in half, is equal to angle CBD, which is also formed by cutting the angle in half. Because of this, you have to set the equation equal to each other.

9x-18=5x+2

Combine like terms. Add 18 to both sides.

9x=5x+20

Combine like terms. Subtract 5x from both sides.

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Divide 4 on both sides.

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3 years ago

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How much would $200 invested at 5% interest compounded monthly be worth after 9years? Round your answer to the nearest cent

Feliz [49]

Answer:

$311.20

Step-by-step explanation:

Here we are required to use the Compound interest formula for finding the Amount at the end of 9th year

The formula is given as

$A=P(1+\frac{r}{n})^{tn}$

Where ,

A is the final amount

P is the initial amount = $200

r is the rate of interest = 5% annual = 0.05

n is the frequency of compounding in a year ( Here it is compounding monthly) = 12

t is the time period = 9

Now we substitute all these values in the formula and solve for A

$A=200(1+\frac{0.05}{12})^{9\times 12}$

$A=200(1+0.00416)^{108}$

$A=200(1.00416)^{108}$

$A=200 \times 1.556$

$A=311.20$

Hence the amount after 9 years will be $311.20

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3 years ago

A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$