Market saving is 1500
Certificate of deposit 8500
A = 10000 - B
0.12(10000 - B) + 0.05 = 1095
Then solve for B
1200 - 0.12B + 0.05B = 1095
1,200 - 1095 = 0.07B
105/0.07 = B
B = 1500
Market saving accounts 1500
Now Solve for CD
10000 - 1500 = 8500 Certificate of deposit
Answer:
at 6 minutes and 8.25 minutes
Step-by-step explanation:
When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.
QUESTION 3
The sum of the interior angles of a kite is
.
.
.
.
.
But the two remaining opposite angles of the kite are congruent.
![\Rightarrow m](https://tex.z-dn.net/?f=%5CRightarrow%20m%3C%5C%3AD%3Dm%3C%5C%3AB)
.
.
.
.
QUESTION 4
RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.
Using the Pythagoras Theorem, we obtain;
![|RH|^2=12^2+20^2](https://tex.z-dn.net/?f=%7CRH%7C%5E2%3D12%5E2%2B20%5E2)
![|RH|^2=144+400](https://tex.z-dn.net/?f=%7CRH%7C%5E2%3D144%2B400)
![|RH|^2=544](https://tex.z-dn.net/?f=%7CRH%7C%5E2%3D544)
![|RH|=\sqrt{544}](https://tex.z-dn.net/?f=%7CRH%7C%3D%5Csqrt%7B544%7D)
![|RH|=4\sqrt{34}](https://tex.z-dn.net/?f=%7CRH%7C%3D4%5Csqrt%7B34%7D)
QUESTION 5
The given figure is an isosceles trapezium.
The base angles of an isosceles trapezium are equal.
Therefore
QUESTION 6
The measure of angle Y and Z are supplementary angles.
The two angles form a pair of co-interior angles of the trapezium.
This implies that;
![m](https://tex.z-dn.net/?f=m%3C%5C%3AY%2B68%5Cdegree%3D180%5Cdegree)
![\Rightarrow m](https://tex.z-dn.net/?f=%5CRightarrow%20m%3C%5C%3AY%3D180%5Cdegree-68%5Cdegree)
![\Rightarrow m](https://tex.z-dn.net/?f=%5CRightarrow%20m%3C%5C%3AY%3D112%5Cdegree)
QUESTION 7
The sum of the interior angles of a kite is
.
.
.
.
.
But the two remaining opposite angles are congruent.
![\Rightarrow m](https://tex.z-dn.net/?f=%5CRightarrow%20m%3C%5C%3AQ%3Dm%3C%5C%3AS)
.
.
.
.
QUESTION 8
The diagonals of the kite meet at right angles.
The length of BC can also be found using Pythagoras Theorem;
![|BC|^2=4^2+7^2](https://tex.z-dn.net/?f=%7CBC%7C%5E2%3D4%5E2%2B7%5E2)
![\Rightarrow |BC|^2=16+49](https://tex.z-dn.net/?f=%5CRightarrow%20%7CBC%7C%5E2%3D16%2B49)
![\Rightarrow |BC|^2=65](https://tex.z-dn.net/?f=%5CRightarrow%20%7CBC%7C%5E2%3D65)
![\Rightarrow |BC|=\sqrt{65}](https://tex.z-dn.net/?f=%5CRightarrow%20%7CBC%7C%3D%5Csqrt%7B65%7D)
QUESTION 9.
The sum of the interior angles of a trapezium is
.
.
.
But the measure of angle M and K are congruent.
.
.
.
.