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jonny [76]
2 years ago
11

Suppose a deposit of $ 2 , 000 in a savings account that paid an annual interest rate r (compounded yearly) is worth $ 2 , 209 a

fter 2 years. using the formula a = p ( 1 + r ) t , we have 2 , 209 = 2 , 000 ( 1 + r ) 2 solve for r to find the annual interest rate (to the nearest tenth).
Mathematics
1 answer:
arsen [322]2 years ago
6 0

Answer:

5.1% (nearest tenth)

Step-by-step explanation:

<u>Annual Compound Interest Formula</u>

\large \text{$ \sf A=P\left(1+r\right)^{t} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • A = $2,209
  • P = $2,000
  • t = 2 years

Substitute the given values into the formula and solve for r:

\implies \sf 2209=2000\left(1+r\right)^{2}

\implies \sf \dfrac{2209}{2000}=(1+r)^2

\implies \sf 1.1045=(1+r)^2

\implies \sf \sqrt{1.1045}=1+r

\implies \sf r = \sqrt{1.1045}-1

\implies \sf r = 0.05095194942...

\implies \sf r = 5.095194942...\%

Therefore, the annual interest rate is 5.1% (nearest tenth)

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ASAP answer quickly please
VladimirAG [237]

Answer:

Add 7 black beads

Step-by-step explanation:

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (<em>b</em> meaning black)     b : 3

                                  Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

<u>We need 9 black beads in total</u>.

Check answer

9 : 3     Both sides divisible by 3; reduce ratio

= 3 : 1        Correct ratio

There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore we need to add 7 black beads.

4 0
3 years ago
Construct a circle through points x y and z
faust18 [17]
1. Open the compass to a little more than halfway across the line segment XY. Draw an arc centered at the first endpoint X across the line segment XY. Without changing the width of the compass, place the compass tip on the second endpoint Y. Draw a second arc across the line segment XY.
2. Line up a straightedge with the intersection of the arcs above the line XY, and the intersection of the arcs below the line. Draw a line connecting these two points. The line you draw is a perpendicular bisector. It bisects the line XY at a right angle.
3. Use a compass and straightedge to construct the bisectors of the line YZ as you did with the first line segment. Extend the bisectors long enough that they intersect. The point of their intersection is the center of the circle.
4. The radius of a circle is the distance from the center to any point on the circle’s edge. To set the width, place the tip of the compass on the center of the circle, and open the compass to any one of your original points.Swing the compass around 360 degrees so that it draws a complete circle. The circle should pass through all three points.




3 0
3 years ago
Solve. Dante's mom made 2 liters of cocoa. Dante and his 7 friends each drank a serving of cocoa. If each serving is 235 millili
blsea [12.9K]

Answer:

120 millimeters or 0.12 liters

Step-by-step explanation:

To solve this question :

  1. we have to convert liters to millimeters
  2. multiply the serving of coca by the number of people that consumed the coca
  3. subtract the answer gotten from the step above from 2 litters

1 liter = 1000 millimeter

2 liters = 2 x 1000 = 2000mm

8 people drank cocoa = 8 x 235 = 1880mm

Amount of cocoa left over = 2000 - 1880 = 120mm or 0.12 liters

5 0
3 years ago
Find n(A) for the following set. <br> A={a,b,c,...,z}
MariettaO [177]

n(A) = 26

Solution:

Let us first define the cardinal number of the set.

Cardinal number of the set:

The number of distinct elements in a finite set is called its cardinal number. It is denoted as n(A).

Given set: A = {a, b, c, .... z}

We know that, there are 26 elements in the alphabet "a to z".

Number of elements in the set A = 26

Hence n(A) = 26.

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3 years ago
Flying to Kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112km/h while flying bac
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3 years ago
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