Answer: 4.17 steps
<u>Step-by-step explanation:</u>
Draw a point to use as the center and then sketch 50 units north (up) and 25 units west (left) and 315° which creates a right triangle that has an angle of 360° - 315° = 45°
Use Pythagorean Theorem to find the length of the hypotenuse.
50² + 25² = hypotenuse² --> hypotenuse = 55.9 units
Since Musah only walked 50 units along the hypotenuse, he is 5.9 units from the center.
Create another right triangle using the remaining 5.9 units as the hypotenuse. You can use 45°-45°-90° rules OR sin 45° to find the horizontal distance from the center to be 4.17.
<em>see attachment for sketch</em>
The equation relating T to N is T = 640N + 650
<u>Solution:</u>
Given, Kira and her husband are each starting a saving plan.
Kira will initially set aside $650 and then add $145 every month to the savings.
The amount A (in dollars) saved this way is given by the function A = 145N+650
where N is the number of months she has been saving.
Her husband will not set an initial amount aside but will add $495 to the savings every month.
The amount B (in dollars) by Husband B = 495N
Let T be total amount (in dollars) saved using both plans combined.
Now, we know that,
<em>Total savings = amount save by kira + amount saved by her husband
</em>
T = A + B
T = 145N + 650 + 495N
T = 640N + 650
Hence, the equation is T = 640N + 650
Answer:
z = -26
Step-by-step explanation:
6+z/10= -2
6 + z = -2 (10)
z = -20 - 6
z = -26
Answer:
Common difference is 9
Step-by-step explanation:
-16 + 9 = -7
-7 + 9 = 2
2 + 9 = 11
Answer: interest at the end of 6 months is $10.62
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
From the information given
T = 6 months = 6/12 = 0.5 years
P = $354
R = 6%
Therefore
I = (354 × 6 × 0.5)/100
I = 1062/100
I = 10.62