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Aloiza [94]
3 years ago
5

Could some one plz help me with this question

Mathematics
1 answer:
zhuklara [117]3 years ago
3 0

Answer:

A

Step-by-step explanation:

The formula for this type of interest is A=P(1+\frac{r}{n})^{nt}, where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

A=1800(1+\frac{0.025}{2})^{2\cdot 12}=

1800(1.0125)^{24}\approx 2425.23

Now, she invests this into a new account, and you can set up the following equation:

A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=

2425.23(1.0033333)^{84}\approx 3207.40, or option A.

Hope this helps!

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Patricia serves the volleyball to Amy with an upward velocity of 17.5ft/s. The ball is 5 feet above the ground when she strikes
Lena [83]

t = 1.33 sec

Solution:

Given data:

Velocity (v_0) = 17.5 ft/s

Height (h_0) = 5 ft

The height can be modeled by a quadratic equation

h(t)=-16t^2+v_0t+h_0

where h is the height and t is the time

h(t)=-16t^2+17.5t+5

-16t^2+17.5t+5=0

a = –16, b = 17.5, c = 5

It looks like a quadratic equation. we can solve it by quadratic formula,

$\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

$\Rightarrow t=\frac{-17.5 \pm \sqrt{(-17.5)^{2}-4\times (-16)(5)}}{2 (-16)}

$\Rightarrow t= \frac{-17.5 \pm \sqrt{306.25+ 320}}{-32}

$\Rightarrow t= \frac{-17.5 \pm 25.025}{-32}

$\Rightarrow t= \frac{-17.5 - 25.025}{-32}, \ t= \frac{-17.5 + 25.025}{-32}

$\Rightarrow t= 1.33, \ t= -0.24

Time cannot be in negative. So neglect t = –0.235.

t = 1.33 sec

Hence Amy have to react  1.33 sec before the volleyball hits the ground.

3 0
3 years ago
A carpenter needs to cut two pieces of trim around a window at 34 3/8 inches each. If the saw blade will remove 1/8 of an inch o
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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h^2 = 27 + 9, or h^2 = 36, so that h, the length of the hypotenuse, must be 6.

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