Answer:
The correct answer is the equivalent amount is $139,059.41
Step-by-step explanation:
According to the scenario, the computation of the equivalent amount in year ten is shown below;
= $5,000 × (P/A, 10%,10) + $1,000 × (P/G, 10%,10)
= $5,000 × 6.1466 + $1,000 × 22.8913
= $30,723 + $22,891.30
= $53,614.30
Now the equivalent amount is
= $53,614.30 × (F/P, 10%,10)
= $53,614.30 × 2.5937
= $139,059.41
Hence, the equivalent amount is $139,059.41
Answer:
1 - G;
2 - R;
3 - E;
4 - D;
5 - T;
6 - J;
7 - O;
8 - B;
Step-by-step explanation:
The formula for calculating the sum of interior angles is ( n − 2 ) * 180 ∘ where n is the number of sides.
1) (4 - 2) * 180 = 360 therefore X + 100 + 118 + 53 = 360 => X = 360 - 100 - 118 - 53 = 89 => X = 89
2) (5 - 2) * 180 = 540 => 90 + 90 + X + 128 + X = 540 => 2*X = 540 - 90 - 90 - 128 = 232 => X = 116
3) (6 - 2) * 180 = 720 => 101 + 126 + X + 96 + 147 + 135 = 720 => X = 720 - 101 - 126 - 96 - 147 - 135 = 115 => X = 115
4) (9 - 2) * 180 = 7 * 180, since all angles are equal the answer is 7 * 180 / 9 = 7 * 20 = 140 => X = 140
5) (5 - 2) * 180 = 540 => 90 + 131 + 102 + X + 145 = 540 => X = 540 - 90 - 131 - 102 - 145 = 72 => X = 72
6) Since the sum of the linear pair angles equal 180, X = 180 - 70 = 110 => X = 110
7) (4 - 2) * 180 = 360; Linear pair angle for 73 is 180 - 73 = 107, that means X + 102 + 39 + 107 = 360 => X = 360 - 102 - 39 - 107 = 112 => X = 112
8) (5 - 2) * 180 = 540; Linear pair angle for 84 is 180 - 84 = 96; Linear pair angle for 79 is 180 - 79 = 101; Linear pair angle for 34 is 180 - 34 = 146; so X + 90 + 96 + 101 + 146 = 540 => X = 540 - 90 - 96 - 101 - 146 = 107 => X = 107
Answer:
x=80
Step-by-step explanation:
![\boxed{pd\sqrt[4]{48p^3d}}](https://tex.z-dn.net/?f=%5Cboxed%7Bpd%5Csqrt%5B4%5D%7B48p%5E3d%7D%7D)
<h2>
Explanation:</h2>
Here we have the following expression:
![\sqrt[4]{48p^7d^5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B48p%5E7d%5E5%7D)
So we need to simplify it:
![\sqrt[4]{48p^7d^5} \\ \\ \\ We \ can \ write: \\ \\ p^7=p^4\cdot p^3 \\ \\ d^5=d^4\cdot d \\ \\ \\ So: \\ \\ \sqrt[4]{48p^4\cdot p^3\cdot d^4\cdot d} \\ \\ \\ By \ property: \\ \\ \sqrt[n]{x^n}=x \\ \\ \\ Finally: \\ \\ \boxed{pd\sqrt[4]{48p^3d}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B48p%5E7d%5E5%7D%20%5C%5C%20%5C%5C%20%5C%5C%20We%20%5C%20can%20%5C%20write%3A%20%5C%5C%20%5C%5C%20p%5E7%3Dp%5E4%5Ccdot%20p%5E3%20%5C%5C%20%5C%5C%20d%5E5%3Dd%5E4%5Ccdot%20d%20%5C%5C%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20%5Csqrt%5B4%5D%7B48p%5E4%5Ccdot%20p%5E3%5Ccdot%20d%5E4%5Ccdot%20d%7D%20%5C%5C%20%5C%5C%20%5C%5C%20By%20%5C%20property%3A%20%5C%5C%20%5C%5C%20%5Csqrt%5Bn%5D%7Bx%5En%7D%3Dx%20%5C%5C%20%5C%5C%20%5C%5C%20Finally%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7Bpd%5Csqrt%5B4%5D%7B48p%5E3d%7D%7D)
<h2>Learn more:</h2>
Mathematical expressions: brainly.com/question/14200575#
#LearnWithBrainly
Answer:
160 in²
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh . . . . base length b, height h
Here, the triangle has a base length of 32 in, and a height of 10 in. Its area is ...
A = 1/2(32 in)(10 in) = 160 in²
