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2 years ago

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3. A $5,000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interes

t for the year is $170, then how much is invested in each account?

1 answer:

ratelena [41]2 years ago

3 0

Answer:

threee

Step-by-step explanation:

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Please answer this question now

xz_007 [3.2K]

Answer:

397.7 m²

Step-by-step Explanation:

Step 1: find m < W

W = 180 - (33+113) (sum of ∆)

W = 34°

Step 2: find side UV using the law of sines

$\frac{UV}{sin(W)} = \frac{VW}{sin(U)}$

$\frac{UV}{sin(34)} = \frac{29}{sin(33)}$

Multiply both sides by sin(34)

$\frac{UV}{sin(34)}*sin(34) = \frac{29}{sin(33)}*sin(34)$

$UV = \frac{29*sin(34)}{sin(33)}$

$UV = 29.8 m$ (approximated)

Step 3: find the area using the formula, ½*UV*VW*sin(V)

area = ½*29.8*29*sin(113)

Area = 397.7 m² (rounded to the nearest tenth.

7 0

2 years ago

During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial

kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

$f(x) = -12x^2 + 60x + 5$ ....(1)

(a) For maximum height, put $\dfrac{df(x)}{dt}=0$

So,

$\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60$

Now put,

$-24x+60=0\\\\x=2.5\ s$

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

$f(x=2.5) = -12(2.5)^2 + 60(2.5) + 5\\\\f(x)=80\ \text{feet}$

8 0

2 years ago

Find a difference 118.419 - 6.74

nevsk [136]

Step-by-step explanation:

The difference between 118.419 and 6.74 is

= 111.679

Hope it helps

7 0

3 years ago

which a and b family both have 8 people in there family. The ages of each term is listed below which which state meant is correc

Gwar [14]

Answer:

Family a because it is more chronological

Step-by-step explanation:

4 0

2 years ago

Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk pr

Jobisdone [24]

Answer:

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let $M(a) = 40.8-1.1\cdot a$ , where $a$ is the age of the dairy cow, measured in years, and $M(a)$ is the predicted milk production, measured in gallons per week.

Besides, we consider $a_{1}$ and $a_{2}$ , such that $a_{1}\ne a_{2}$ , we define the difference between predicted milk productions ( $\Delta M$ ) below:

$\Delta M = -1.1\cdot (a_{2}-a_{1})$ (1)

If we know that $a_{1} = 5\,yr$ and $a_{2} = 10\,yr$ , then the difference between predicted milk productions is:

$\Delta M = -1.1\cdot (10-5)$

$\Delta M = -5.5\,\frac{gal}{week}$

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.

6 0

2 years ago