Answer:
Step-by-step explanation:
This is an Annuity question. It is asking for recurring monthly payment(PMT). <em>You can use a financial calculator to solve it. I am using (Texas Instruments BA II plus)</em>
Since the payments occur monthly , adjust the interest rate to monthly rate and multiply 40 years by 12 since we have 12 months in a year<em>.</em>
Total duration of investment ; N = 40*12 = 480
Interest rate; I/Y = 5.75% /12 = 0.4792%
Future value; FV = 6,000,000
Present value ; PV = 0
then CPT PMT = 3,222.912
Therefore $3,222.91 should be deposited each month to achieve the goal.
Answer:
The Answer is: B.
Step-by-step explanation:
The form of the equation is:
f(x) = ab^x
When b is greater than 0 and less than 1, the function is an Exponential Decay Function.
B. is f(x) = (.08)^x
In this case, a = 1
Answer:
13ft 10.2in
Step-by-step explanation:
First let's convert 3ft to in.
3 * 12 = 36 in
Now let's find the angle
We use tangent because we know the opposite and adjacent distances.
tan x = 36/13
tan x = 2.7692
On your calculator, input the value of your tangent. Then press "inv." This should give you the angle associated with that value. The angle associated with tan 2.7692 is 70.14 degrees.
Now that we know the angle we can find the height.
We use tangent again.
tan 70.14 = x / 5 We don't know the opposite but we know the adjacent length is 5ft.
2.77 * 5 = x
13.85 ft = x
To get it in ft and inches multiply .85 by 12
.85 * 12 = 10.2
13ft 10.2in
Answer:
B = 12.8 cm (to 1.d.p)
D = 24.1 cm (to 1.d.p)
Step-by-step explanation:
Using Pythagoras Theorem:
B: 4^2 + 3.5^2 = 28.25
square root 28.25 = 5.3 (to 1 decimal place) so this is the length of the missing side.
To find perimeter add sides a, b and c so...
perimeter of triangle B = 12.8 cm (to 1 decimal place)
D: 10^2 - 6.5^2 = 57.75
square root 57.75 = 7.6 (to 1 decimal place) so this is the length of the missing side.
To find perimeter add sides a, b and c so...
perimeter of triangle D = 24.1 cm (to 1 decimal place)
^2 indicates squared
Sorry but I'm not too sure / confident about A or C
26 + 95? Use absolute values; 121.
