Answer:
<u>I will take around 1 year and 8 months to earn $ 45 of interest on this investment</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Interest earned = $ 45
Investment = $ 790
Annual simple interest rate = 3.4% = 0.034
2. How much time would it take to earn $45?
Let's recall the formula for calculating the simple interest of an investment:
A = P * (1 + rt)
Replacing with the values we already have:
835 = 790 + (1 + 0.034t).
Where t is the time we want to calculate
835 = 790 + 26.86t
26.86t = 835 - 790
26.86t = 45
t = 1.68 (Rounding to the next hundredth)
<u>t ≅ 1 year and 8 months</u>
Answer:
0
Step-by-step explanation:
In the given expression, substitute -5 for x and 25 for y:
5|x|-y to the third power over x becomes
5|-5| - 25 25 - 25
------------------ = -------------- = 0
-5 -5
9 by 9
9 feet by 9 feet. There is more options but tht is the only whole number option
We are given the height of Joe which is 1.6 meters, the length of his shadow is 2 meters when he stands 3 meters from the base of the floodlight.
First, we have to illustrate the problem. Then we can observe two right triangles formed, one is using Joe and the length of the shadow, the other is the floodlight and the sum of the distance from the base plus the length of the shadow. To determine the height of the floodlight, use ratio and proportion:
1.6 / 2 = x / (2 +3)
where x is the height of the flood light
solve for x, x = 4. Therefore, the height of the floodlight is 4 meters.
Answer:
Given,
Diagonals are equal
AC=BD .......(1)
and the diagonals bisect each other at right angles
OA=OC;OB=OD ...... (2)
∠AOB= ∠BOC= ∠COD= ∠AOD= 90
0
..........(3)
Proof:
Consider △AOB and △COB
OA=OC ....[from (2)]
∠AOB= ∠COB
OB is the common side
Therefore,
△AOB≅ △COB
From SAS criteria, AB=CB
Similarly, we prove
△AOB≅ △DOA, so AB=AD
△BOC≅ △COD, so CB=DC
So, AB=AD=CB=DC ....(4)
So, in quadrilateral ABCD, both pairs of opposite sides are equal, hence ABCD is parallelogram
In △ABC and △DCB
AC=BD ...(from (1))
AB=DC ...(from $$(4)$$)
BC is the common side
△ABC≅ △DCB
So, from SSS criteria, ∠ABC= ∠DCB
Now,
AB∥CD,BC is the tansversal
∠B+∠C= 180
0
∠B+∠B= 180
0
∠B= 90
0
Hence, ABCD is a parallelogram with all sides equal and one angle is 90
0
So, ABCD is a square.
Hence proved.
Step-by-step explanation:
