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anzhelika [568]
3 years ago
12

B Given: m AB =m BC , m∠x=60°, m∠y=15° Find: m AC

Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Answer:

105

Step-by-step explanation:

because all the angles added up have to = 180

60+15=75

75-180=105

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Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year
Anna35 [415]

Given:

• Amount to save, A = $28,000

,

• Time, t = 6 years

,

• Interest rate, r = 5.3% ==> 0.053

,

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})

Where:

FV is the future value = $28,000

r = 0.053

n = 4

t = 6 years

Thus, we have:

28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}

Let's solve for P.

We have:

\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\  \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\  \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\  \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}

Solving further:

28000=P(28.0384237)

Divide both sides by 28.0384237:

\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\  \\ 998.6=P \\  \\ P=998.6 \end{gathered}

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

8 0
1 year ago
PLEASE HELP ME I WILL MARL BRAINLIEST use the line plot to answer the questions the line plot shows the wood strip lengths in in
Igoryamba

Answer:

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3 0
2 years ago
Find the probability of at least 2 girls in births. Assume that male and female births are equally likely and that the births ar
tiny-mole [99]
We assume that male and female births are equally likely, it means that the probability of birth of male= probability of birth of female = 100%/2=50% or 0.5We have 2 independent events. So what will be the variants:
Male and FemaleMale  and Male Female and Male Female and Female 
All four variants are equally likely.Probability of each one is 1/4 = 0.25.So, Result "Female and Female"
 are probability = 0.250 --- if round to three decimal places.
6 0
3 years ago
John spent 2 hours out of an 8 hour day, painting a car. What percentage of John’s day would this be equal to?
xxMikexx [17]

Answer:

john's just spend 2h out of 8 so thats equal 6h that means he have a 6h days

Step-by-step explanation:

2-8=6

7 0
3 years ago
Mrs. Thomas bought 4 gallons of gas. Her total cost was $6.76.
joja [24]

4 gallons × y dollars/gallon=$6.76

4y=6.76

Divide both sides by 4

Y=$1.69

3 0
3 years ago
Read 2 more answers
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