Answer: 6.0 x 10^7
Step-by-step explanation:
60000000 = 6.0 x 10^7
A = P(1+r/12)^12t, where A = amount after two years, P = Initial amount = $1000, r =apr = 4.2% = 0.042, t = period = 2 years
Then,
A = 1000 (1+0.042/12)^12*2 = $1087.47
Answer: " 94. 6 ft² ".
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<u>Step-by-step explanation</u>:
The formula for the area of a trapezoid:
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A = (1/2) * (b1 + b2) * (perpendicular height, "h" ) ;
in which:
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"A = area (in units of ft²) "
"b1 = length of (base one) = 7.7 ft (from diagram) ;
"b2 = length of (base two—the other base) = 14.3 ft. ;
"h = height (perpendicular) = 8.6 ft.
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To solve for the Area, "A" ; we plug in the known values:
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A = (1/2) * (b1 + b2) * (perpendicular height, "h" );
= (1/2) * (7.7 ft + 14.3 ft) * (8.6 ft) ;
= (1/2) * (22 ft.) * (8.6 ft) ;
= (11 ft.) * (8.6 ft.) ;
= (11) * (8.6) * (ft.) * (ft.) ;
= (11) * (8.6) * ft² ;
A = " 94. 6 ft² ".
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Hope this is helpful to you!
Best wishes!
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Answer:
C. ![y = - \frac{1}{4} x - 2](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20x%20-%202)
Step-by-step explanation:
To find slope using coordinates, use the formula above.
![(4, - 3) \: (0, - 2)→ \frac{ - 2 - ( - 3)}{0 - 4}→ \frac{ - 2 + 3}{ - 4} → - \frac{1}{4}](https://tex.z-dn.net/?f=%284%2C%20-%203%29%20%5C%3A%20%280%2C%20-%202%29%E2%86%92%20%5Cfrac%7B%20-%202%20-%20%28%20-%203%29%7D%7B0%20-%204%7D%E2%86%92%20%5Cfrac%7B%20-%202%20%2B%203%7D%7B%20-%204%7D%20%E2%86%92%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20)
Now, using the
formula, plug in
as
(slope) and either coordinate as the
and
values. It looks like this:
![- 3 = - \frac{1}{4}(4) + b](https://tex.z-dn.net/?f=%20-%203%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B4%7D%284%29%20%20%2B%20b)
To solve for
, continue to use PEMDAS.
![- 3 = - \frac{1}{4}(4) + b→ - 3 = - 1 + b→ - 2 = b](https://tex.z-dn.net/?f=%20-%203%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B4%7D%284%29%20%20%2B%20b%E2%86%92%20-%203%20%3D%20%20-%201%20%2B%20b%E2%86%92%20-%202%20%3D%20b)
Now use
and
to solve for your equation:
![y = - \frac{1}{4} x - 2](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20x%20-%202)
The answer is C.