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sashaice [31]
3 years ago
10

A metal ring hole barrels together has a radius of 3 ft find the circumference and area

Mathematics
1 answer:
irina1246 [14]3 years ago
7 0
Circumference = 2*pi*radius = 2*3.14*3 = 18.84 ft

Area = pi*radius^2 = 3.14*3*3= 28.26 ft^2
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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}&#10;{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
3 years ago
Please help me I don't understand
sashaice [31]
Answer is B because the red has 2 columns and 7 rows that is how you get 2/7 And the blue has 3 rows and 5 columns making 3/5
If you multiply these together you get the doubled colored (red/blue over the total of squares)
6/35
The other way which most likely I think you should choose this way is D why?? Because there are out of the red are 3 out of 7 rows that are combined with blue and 2 out of 5 of the blue column are combined with red This makes the 3/7×2/5 = with the 6/35 (combined colors/total)
3 0
2 years ago
If BC = CD and AB = 23, what is BD?
True [87]
BD = 46

Explanation:
BC = CD and AC is used for both triangles so AD MUST = AB.
If AB = 23, then AD = 23.
BD = AB + AB
BD = 23 + 23
BD = 46
7 0
3 years ago
A student’s first step to solving the equation 5(x – 2) = 10 was to simplify it to 5x – 2 = 10. Did the student make a mistake?
Dafna11 [192]
Yes, he forgot to distribute all the terms. 

3 0
3 years ago
Read 2 more answers
(11) Geometry Help pls
Mazyrski [523]
Answer: There are 10 sides

---------------------------------------------

x = measure of each interior angle
y = measure of each exterior angle

We know that x = 4y as "each interior angle is four times the measure of each exterior angle"

The interior and exterior adjacent angles are supplementary
x+y = 180
4y+y = 180
5y = 180
5y/5 = 180/5
y = 36

If y = 36, then
n = 360/y
n = 360/36
n = 10

7 0
3 years ago
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