The numbers given in the problem above are part of an arithmetic sequence with first and sixth terms equal to -21 and -36, respectively. Firstly, calculate for the common difference (d).
d = (-36 - -21) / (6 - 1) = -3
The arithmetic mean is calculated by adding -3 to the term prior to it.
a2 = -21 + -3 = -24 a3 = -24 + -3 = -27
a4 = -27 + -3 = -30 a5 = -30 + -3 = -33
Thus the four arithmetic means are -24, -27, -30, and -33.
Answer:
578 square feet
Step-by-step explanation:
The figure has been divided into 3 rectangles, namely A, B and C.
Area of rectangle= length ×breadth
<u>Rectangle </u><u>A</u>
length= 5 ft
breadth= 11 ft
area= 5(11)= 55 ft²
<u>Rectangle </u><u>B</u>
length= 7 ft
breadth= 15 +13 +4= 32 ft
area= 7(32)= 224 ft²
<u>Rectangle C</u>
length= 23 ft
breadth= 13 ft
area= 23(13)= 299 ft²
Area of figure
= 55 +224 +299
= 578 ft²
Answer:
Step-by-step explanation:
<u>Given</u>:
- d = 32 miles
- t = 2 1/3 hr = 7/3 hr
<u>Find the rate s:</u>
- s = d/t
- s = 32÷7/3 = 32 × 3/7 = 96/7 ≈ 13.7 mph (rounded)
The Principal is the amount you deposit at the start, so P= $500
The rate is 7%, as you will be earning 7% extra yearly in simple interest.
As a decimal, the rate is 0.07 - 7 PER CENT literally means per 100, so 7/100 is 0.07. However, when actually figuring out the simple interest, you have to add 1 to 0.07 because you are earning 7% ON TOP OF your original amount.
The time is 10, as you are leaving the money in the account for 10 years, and time is measured in the given unit
Now, let's plug in this information into the general formulas:
I=Prt
where I is the just the interest earned
I=500×0.07×10
I=$350
A=P(1+r/100×t)
where A is the total amount (original sum of money plus interest)
A=500(1+0.07×10)
A=$850