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schepotkina [342]
3 years ago
8

Abigail invested $29,000 in an account paying an interest rate of 2.1% compounded

Mathematics
1 answer:
sergey [27]3 years ago
7 0
The answer is $34,305.16

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Jill and Marcy go to an ice cream store where they have the option of getting a smoothie in either a cylindrical or rectangular
k0ka [10]

Answer: Jill got the larger smoothie and its volume is 1609.14 cubic cm.

Step-by-step explanation:

Since we have given that

Jill purchased the cylindrical container.

Height of container = 8 cm

Radius = 8 cm

So, volume of cylindrical container would be

\pi r^2h\\\\=\dfrac{22}{7}\times 8\times 8\times 8\\\\=1609.14\ cm^3

Marcy purchased the rectangular container.

Height of container = 8 cm

Width = 8 cm

Length = 8 cm

so, volume of rectangular container would be

l\times b\times h\\\\=8\times 8\times 8\\\\=512\ cm^3

Hence, Jill got the larger smoothie and its volume is 1609.14 cubic cm.

3 0
3 years ago
Find the value of x. Round to
Leno4ka [110]

Answer:

X= 10

Step-by-step explanation:

let the vertex of angle 17° named A

then the other two B and C

then by using trigonometry:

sin(A) = opposite side divided by hypotenuse

opposite side is. X

Wich makes Sin(A) = X/47

then by crossing X= sin(A) × 47 = 13.74147

rounding to the nearest tenth: X= 10

7 0
3 years ago
Help how do I solve it
Mila [183]
When two lines intersect, opposite angles are equal. This means that angle 1 equals angle 4. We can use that information to find their values.
Angle 1 = Angle 4
6n+1 = 4n+19
2n=18
n=9

6(9)+1=54+1=55

Angle 1 and 4 equal 55 degrees.

Two angles that form a straight line together have a total sum of 180 degrees. Angles 1 and 5 are like this, as well as Angles 4 and 5, and Angles 4, 3, and 2 added together.

Therefore, 180 = (angle 4) + (angle 3) + (angle 2)
180= 55+(angle 3) + (angle 2)
125= angle 3 + angle 2

I'm not sure what else can be extrapolated from this. There doesn't seem to be a way to find out what the measure of angle 2 is without angle 3 as well. I hope this helps and you can figure it out from the answer choices!
5 0
3 years ago
The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its
tester [92]
Let the angles be A and C 

<span>Complimentary angles, therefor </span>
<span>A + C = 90 </span>

<span>The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees) </span>
<span>C = 1.25A </span>

<span>Substitute </span>
<span>A + 1.25A = 90 </span>
<span>2.25A = 90 </span>
<span>A = 40º <----- </span>
<span>C = 50º <----- </span>
<span>------------------------------ </span>

<span>If you meant 25º </span>
<span>A + (A + 25) = 90 </span>
<span>2A + 25 = 90 </span>
<span>2A = 65 </span>
<span>A = 32.5º </span>
<span>C = 57.5º</span>
3 0
3 years ago
PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH.
snow_lady [41]

Step-by-step explanation:

7.3 when rounded to the nearest tenth

5 0
3 years ago
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