All categories

2 years ago

I WILL GIVE BRAINLIEST. Please help!

Mathematics

1 answer:

valina [46]2 years ago

8 0

Answer: 2.5%

Step-by-step explanation:

Hi, to answer this question we have to apply the compounded interest formula:

A = P (1 + r/n) nt

Where:

A = Future value of investment (principal + interest)

P = Principal Amount

r = Nominal Interest Rate (decimal form, 10/100= 0.1)

n= number of compounding periods in each year (365)

Replacing with the values given

A=250(1+0.1/1)^t/1

A=250(1.1)^t

For a interest compounded annually, n=1, compounded quarterly n= 4 (4quarters in a year )

Interest rate 0.1 /4 = 0.025= 2.5%

You might be interested in

It takes 16pounds of seed to completely plant a 3-acre field. How many acres can be planted per pound of seed?

tiny-mole [99]

Answer:

16x3=48

Step-by-step explanation:

4 0

2 years ago

2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

$(x-h)^{2} +(y-k)^{2} =r^{2}$

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

$(x+1)^{2} +(y-2)^{2} =36$

the Center is: (-1,2)

and the radius is: $\sqrt{36}$ = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

$(x+1)^{2} +(y-2)^{2} =36$

$(x+1)^{2} +(2-2)^{2} =36$

$(x+1)^{2} +(0)^{2} =36$

$(x+1)^{2} =36$

$x+1 =±\sqrt{36}$

$x=6-1$ AND $x=-6-1$

$x=5$ AND $x=-7$

The points are A(5,2) and B(-7,2)

second sub x= -1 in the equation to find the values for y:

$(x+1)^{2} +(y-2)^{2} =36$

$(-1+1)^{2} +(y-2)^{2} =36$

$(0)^{2} +(y-2)^{2} =36$

$(y-2)^{2} =36$

$y-2=±\sqrt{36}$

$y=6+2$ AND $y=-6+2$

$y=8$ AND $y=-4$

The points are D(-1,8) and E(-1,-4)

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0

2 years ago

Use properties of exponents to rewrite the following expressions as a number or an exponential expression with

Lerok [7]

Answer:

[(2)^√3]^√3 = 8

Step-by-step explanation:

Hi there!

Let´s write the expression:

[(2)^√3]^√3

Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):

[(2)^(3^1/2)]^(3^1/2)

Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:

(2)^(3^1/2 · 3^1/2)

Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ

(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8

Then the expression can be written as:

[(2)^√3]^√3 = 8

Have a nice day!

7 0

2 years ago

Write the fraction as a whole or mixed number.

Wewaii [24]

Answer:

$1\frac{1}{2}$

Step-by-step explanation:

If there is 1500 cellular phones per 1000 people, then the number of phones per person is:

$\frac{1500}{1000} = \frac{15}{10} = \frac{3}{2}$

Now we know that $\frac{3}{2} = 1 + \frac{1}{2} = 1\frac{1}{2}$

5 0

2 years ago

Given Circle M where d = 11, determine<br> The circumference.

Advocard [28]

Answer:

In this particular case, Circle M has circumference 11π, or approximately 34.6 units.

Step-by-step explanation:

The circumference of a circle of diameter d is C = πd.

In this particular case, Circle M has circumference 11π, or approximately 34.6 units.

8 0

1 year ago