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2 years ago

You invest $2,600 in an account that

Mathematics

1 answer:

SashulF [63]2 years ago

4 0

Answer:

$3,927.53

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

$A = Pe^{rt}$

P = principal amount

r = interest rate (decimal)

t = time (years)

First change 8.25% to its decimal form:

8.25% -> $\frac{8.25}{100}$ -> 0.0825

Next, plug in the values into the equation:

$A=2,600e^{0.0825(5)}$

$A=3,927.53$

The balance of the account after 5 years will be $3,927.53

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4-21. Kelso's mom wants to put a floating blanket over the family's circular wading pool to keep the heat in and the leaves out.

astraxan [27]

Answer:

a. 78.6 square feet

b. $7.86

Step-by-step explanation:

a. This simply asks us to calculate the area of the 10 feet diameter pool

Formula for area of circle is ;

pi * r^2 = pi * d^2/4

so Area = 22/7 * 10^2/4 = 78.60 square feet

b. This will be the area of the blanket multiplied by the price per square foot of the blanket

Mathematically, we have that as;

78.60 * 0.1 = $7.86

7 0

2 years ago

Please help, I need input on if I did this correctly and you just substitute.

kow [346]

The value of h(t) when $t=\frac{15}{32}$ is 10.02.

Solution:

Given function $h(t)=-16t^2+15t+6.5$

To find the value of h(t) when $t=\frac{15}{32}$ :

$h(t)=-16t^2+15t+6.5$

Substitute $t=\frac{15}{32}$ in the given function.

$$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5$

$$=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5$

Now multiply the common terms into inside the bracket.

$$=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5$

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

$$=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5$

To make the denominator same, take LCM of the denominators.

LCM of 64 and 32 = 64

$$=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}$

$$=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}$

$$=\frac{-225+450+416}{64}$

$$=\frac{641}{64}$

= 10.02

$$h\left(\frac{15}{32} \right)=10.02$

Hence the value of h(t) when $t=\frac{15}{32}$ is 10.02.

8 0

2 years ago

If the shape of an object changes the perimeter will always change true or false

Ugo [173]

The answer is false due to the object is changes shape not size

6 0

3 years ago

Find y: y − 4 = 6 A. 4 B. 10 C. 2 D. 6

aleksandrvk [35]

Answer:

Correct Answer is B

Step-by-step explanation:

y-4=6

+4. +4

y=10

7 0

2 years ago

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Find the axis of symmetry and what direction the parabola opens. -1/4(y+4)=(x-3)²

MariettaO [177]

First, convert the equation to the standard equation of a parabola.
-1/4(y+4)=(x-3)^2 ---multiply -4 on both sides
y+4=-4(x-3)^2 ---subtract 4 on both sides
y=-4(x-3)^2-4
From the equation, we know that the parabola was moved by 3 to the right, because of (x-3)^2. So the axis of symmetry is x=3. Now look at the number in front of (x-3)^2. It is -4. Since it is negative, the parabola opens downwards.

7 0

3 years ago

Read 2 more answers