8/15 + 2/5 pls solve this for me someone pls

Antonio deposits $1,750 into an account that earns 5% interest compounded daily. How much interest does he earn after 1 day?

Natali [406]

Answer:

He earns $0.24 in interest after 1 day.

Step-by-step explanation:

Compound interest:

$A(t)=P(1+\frac{r}{n})^{n\ast t}$

In which:

P is the principal, the amount of the initial deposit.

r is the yearly interest rate, as a decimal.

n is the number of compoundings during a year.

t is the number of years.

In this question:

Deposit of $1,750, so P = 1750.

Interest rate of 5%, so r = 0.05.

Compounded daily. A year has 365 days, so n = 365.

After 1 day. 1 day is 1/365 of an year, so t = 1/365.

The amount he will have after one day will be:

$A=1750(1+\frac{0.05}{365})^{\frac{1}{365}\ast365}=1750(1+\frac{0.05}{365})=1750.24$

The interest earned will be:

Amount after 1 day subtracted by the deposit.

Deposit of $1,750.

After 1 day, he will have $1,750.24.

1750.24 - 1750 = 0.24

He earns $0.24 in interest after 1 day.

6 0

1 year ago

Given that the diameter of Circle A is 7 cm, and the radius of Circle B is 21 cm, what can be concluded about the two circles?

Finger [1]

<h3>Answer:</h3>

C. the circles are similar

<h3>Given radius:</h3>

Circle A = 7 cm

Circle B = 21 cm

<h3 />

1) Similar Shape : they can be enlarged and diminished where size varies.

2) Congruent Shape : they must have similar size and lengths.

<h3 />

Hence, here the circles are similar with different lengths.

3 0

2 years ago

Complete the following table:

Kipish [7]

Answer:

(3,-1/64),(-1,-4),(0,-1),(-2,-16),(-3,-64)

Step-by-step explanation:

Hope u understand........

4 0

3 years ago

Using the following equation, find the center and radius: x2 −2x + y2 − 6y = 26 (5 points)

Lisa [10]

Answer:

Center: (1,3)

Radius: 6

Step-by-step explanation:

Hi there!

$x^2-2x + y^2 - 6y = 26$

Typically, the equation of a circle would be in the form $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius.

To get the given equation $x^2-2x + y^2 - 6y = 26$ into this form, we must complete the square for both x and y.

<u>1) Complete the square for x</u>

Let's take a look at this part of the equation:

$x^2-2x$

To complete the square, we must add to the expression the square of half of 2. That would be 1² = 1:

$x^2-2x+1$

Great! Now, let's add this to our original equation:

$x^2-2x+1+y^2-6y = 26$

We cannot randomly add a 1 to just one side, so we must do the same to the right side of the equation:

$x^2-2x+1+y^2-6y = 26+1\\x^2-2x+1+y^2-6y = 27$

Complete the square:

$(x-1)^2+y^2-6y = 27$

<u>2) Complete the square for y</u>

Let's take a look at this part of the equation $(x-1)^2+y^2-6y = 27$ :

$y^2-6y$

To complete the square, we must add to the expression the square of half of 6. That would be 3² = 9:

$y^2-6y+9$

Great! Now, back to our original equation:

$(x-1)^2+y^2-6y+9= 27$

Remember to add 9 on the other side as well:

$(x-1)^2+y^2-6y+9= 27+9\\(x-1)^2+y^2-6y+9= 36$

Complete the square:

$(x-1)^2+(y-3)^2= 36$

<u>3) Determine the center and the radius</u>

$(x-1)^2+(y-3)^2= 36$

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

Now, we can see that (1,3) is in the place of (h,k). 36 is also in the place of r², making 6 the radius.

I hope this helps!

3 0

3 years ago

Read 2 more answers

P, Q, and R are prime numbers such that 3P + 7Q + 15R = 102. What is Q?

77julia77 [94]

Q is 3

Step-by-step explanation:

The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, ......

They have two factors only 1 and itself
All the them are odd numbers except 2 is an even number
1 is not a prime number because has only one factor

∵ P, Q and R are three prime numbers

∵ 3P + 7Q + 15R = 102

- Factorize 102 into prime numbers

∵ 102 ÷ 2 = 51

∵ 51 ÷ 3 = 17

∴ The prime factorization of 102 is 2 × 3 × 17

∵ 2 , 3 , 17 are prime numbers

- Put them in the equation above to find which one is P and

which is Q and which is R

∵ R has the greatest coefficient, then put R = the smallest prime 2

∵ P has the smallest coefficient, then put P = the greatest prime 17

∴ Q = The last prime 3

- Let us check the value of the left hand side

∵ Left hand side = 3(17) + 7(3) + 15(2) = 51 + 21 + 30 = 102

∵ Right hand side = 102

∴ The prime numbers are P = 17 , Q = 3 , R = 2

Q is 3

Learn more:

You can learn more about the prime numbers in brainly.com/question/4550858

#LearnwithBrainly

8 0

3 years ago