All categories

4 years ago

Find the total amount due on a simple-interest loan if the principal is $3000 with a rate of 5% for 10 years.

1 answer:

3 0

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$3000\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
t=years\to &10
\end{cases}
\\\\\\
A=3000(1+0.05\cdot 10)\implies A=3000(1.5)$

You might be interested in

i need help with the last two. I forgot the formula and wondering if you will help me find which one is and isnt a triangle

Nimfa-mama [501]

Answer:

3. D) 26, 7, 31

4. B) 6, 34, 27

Step-by-step explanation:

Both #3 and #4 use the same strategy: the two shorter sides' sum has to be greater than the longer side.

#3:

2 + 8 is 10, which is less than 13. So A wouldn't form a triangle.

12 + 22 is 34, which is the length of the longer side. So B wouldn't form a triangle either.

14 + 18 is 32, which is less than 40. So C wouldn't form a triangle.

7 + 26 is 33, which is greater than 31. So D would form a triangle.

D. 26, 7, and 31 are the only lengths of the ones shown that form a triangle.

#4:

17 + 18 is 35, which is greater than 19. So A would form a triangle.

11 + 22 is 33, which is greater than 25. So C would also form a triangle.

5 + 18 is 23, which is greater than 20. So D would form a triangle.

6 + 27 is 33, which is less than 34. So B wouldn't form a triangle.

B. 6, 34, and 27 are the only lengths of the ones shown that don't form a triangle.

6 0

3 years ago

(Please answer it correctly please please show work )Thalia tosses a fair number cube with faces numbered 1 to 6. Which is a rea

anastassius [24]

Answer:40

Step-by-step explanation:

On a fair die, each face has a 1/6 chance of landing on each toss.

5 and 6 are the only faces greater than 4, therefore there is a 1/6 + 1/6 = 2/6 chance of the die landing on a number greater than 4 for each toss.

Multiply the probability by the total number of tosses to get the number of tosses that are greater than 4.

120 * (2/6) = 240/6 = 40

Approximately 40 tosses will land on a number greater than 4.

3 0

4 years ago

Solve for w, where w is a real number.

Ber [7]

Answer:

w= 9

Step-by-step explanation:

$\sqrt{ - 4w + 61} = w - 4$

Square both sides:

-4w +61= (w -4)²

$\boxed{(a - b)^{2} = a^2 -2ab + b^2 }$

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

Why do we use negative square root?

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0

2 years ago

Read 2 more answers

PLZ HELP ILL MARK BRAINLIEST

crimeas [40]

Answer:

The price of P is 0.8

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Find the values of s1 and r for a geometric sequence with s4 = 18 and s6= 8

stiv31 [10]

Answer:

see below

Step-by-step explanation:

The ratio of terms that are two terms apart (s4 and s6) is the square of the common ratio:

s6/s4 = r^2

r = √(8/18)

r = 2/3 . . . . . matches choices A and C

Using the formula for the general term, we now know enough to find the first term:

sn = s1·r^(n-1)

s4 = s1·(2/3)^(4-1)

Using s4 = 18 and multiplying by (2/3)^-3, we get ...

18·(2/3)^-3 = s1 = 18·27/8

s1 = 243/4 . . . . . matches choice A

8 0

3 years ago