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2 years ago

I need help finding the angles

Mathematics

2 answers:

Lostsunrise [7]2 years ago

6 0

What way are you trying to solve

Anna11 [10]2 years ago

4 0

Answer:

all angles are 60 degrees

Step-by-step explanation:

since all sides are equal, all angles will be equal so its a equilateral triangle

all angles in a equilateral triangle are 60 as 180/3 is 60

so all angles equal 2x

2x = 60

x = 60/2 = 30

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You deposit 2000 in account A, which pays 2.25% annual interest compounded monthly. You deposit another 2000 in account b, which

stellarik [79]

To model this situation, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial deposit
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years

For account A:
We know for our problem that $P=2000$ and $r= \frac{2.25}{100} =0.0225$ . Since the interest is compounded monthly, it is compounded 12 times per year; therefore, $n=12$ . Lets replace those values in our formula:
$A=2000(1+ \frac{0.0225}{12} )^{12t}$

For account B:
$P=2000$ , $r= \frac{3}{100} =0.03$ , $n=12$ . Lest replace those values in our formula:
$A=2000(1+ \frac{0.03}{12} )^{12t}$

Since we want to find the time, $t$ , <span>when the sum of the balance in both accounts is at least 5000, we need to add both accounts and set that sum equal to 5000:
</span> $2000(1+ \frac{0.0225}{12} )^{12t}+2000(1+ \frac{0.03}{12} )^{12t}=5000$

Now that we have our equation, we just need to solve for $t$ :
$2000[(1+ \frac{0.0225}{12} )^{12t}+(1+ \frac{0.03}{12} )^{12t}]=5000$
$(1+ \frac{0.0225}{12} )^{12t}+(1+ \frac{0.03}{12} )^{12t}= \frac{5000} {2000}$
$(1.001875)^{12t}+(1.0025 )^{12t}= \frac{5}
{2}$
$ln(1.001875)^{12t}+ln(1.0025 )^{12t}=ln( \frac{5} {2})$
$12tln(1.001875)+12tln(1.0025 )=ln( \frac{5} {2})$
$t[12ln(1.001875)+12ln(1.0025 )]=ln( \frac{5} {2})$
$t= \frac{ln( \frac{5}{2} )}{12ln(1.001875)+12ln(1.0025 )}$
$17.47$

We can conclude that after 17.47 years <span>the sum of the balance in both accounts will be at least 5000.</span>

5 0

2 years ago

Other term to write 2x+6

eimsori [14]

You could factor it as 2(x + 3)

7 0

2 years ago

Darrel went to the mall and spent $41. He brought several t-shirts that act cost $12 and he brought 1 pair of socks for $5. How

antoniya [11.8K]

Darrel bought three t-shirts seeing that 41-5=36/12=THREE

7 0

2 years ago

Read 2 more answers

Ted and Fred are the owners of a gas station. They invested $150,000 each and pay an employee named Lawrence $35,000 per year. T

Serjik [45]

Answer:

Ted and Fred

Step-by-step explanation:

As per the question,

Ted and Fred are the owners of a gas station that is they are the owner of their own firm.

As being the owner of their own company, they are the one who is responsible for their loss. That is the firm’s owners always suffer the firm’s risk.

Business Risk: Risk that a business will not be able to cover its operating costs.

So in this case, Lawrence is the employee and legally he is not responsible to suffer any kind of the loss.

So he must be paid his salary on time and in full whether or not the firm is running a profit, a loss, or just breaking even.

As being owner Ted and Fred are responsible to withstand the business risk.

Hence, the person who is legally responsible for bearing the $40,000 loss is Ted and Fred.

8 0

2 years ago

6 boxes of 3-inch incense sticks for $22.75 is a better buy than 8 boxes for $30 and 10 boxes for $38.00

enot [183]

Answer:

Step-by-step explanation:

22.75/6 boxes is $3.79 per box

30/8 boxes is $3.75 a box

38/10 boxes is $3.80 a box

68/18=3.70 a box if you combine the last two.

So no, the 6 boxes at $3.79 a box is not a better buy.

6 0

2 years ago