All categories

1 year ago

Emma puts $10,000 in a simple interest account at a bank.

Mathematics

1 answer:

goldenfox [79]1 year ago

5 0

Answer: Hi Hope This Helps :D

Step-by-step explanation:

We have to calculate the annual interest rate for the account. Formula for the simple interest is : I = P * r * t, where P is the investment, r is the annual interest rate and t is time in years. In this case: 1,800 = 10,000 * r * 4; 1,800 = 40,000 * r; r = 1,800 : 40,000; r = 0.045, or 4.5 %. Answer: The annual interest rate is 4.5 %

You might be interested in

Find the error & find the correct answer 2In(x)=In(3x)-[In(9)-2In(3)] In(x^2)=In(3x)-[In(9)-In(9)] In(x^2)=In(3x)-0 In(x^2)=

Art [367]

Answer:

Error: $lnx^2=ln 3x$ not $ln\frac{3x}{0}$

Solution:x=0 and 3

Step-by-step explanation:

We have to find the error and correct answer

Given: $2ln x=ln(3x)-[ln9-2ln(3)]$

$lnx^2=ln(3x)-[ln9-ln3^2]$

Using the formula

$alog b=logb^a$

$lnx^2=ln(3x)-[ln9-ln9]$

$lnx^2=ln(3x)-0$

$lnx^2=ln(3x)$

$x^2=3x$

$x^2-3x=0$

$x(x-3)=0$

Therefore, x=0 and x=3

But last step in the given solution

$lnx^2=ln\frac{3x}{0}=\infty$

It is wrong this property is used when

$log m-log n$ then

$log\frac{m}{n}$

Hence, the student wrote $lnx^2=ln\frac{3x}{0}$ instead of $lnx^2=ln3x$ and solution is given by

x=0 and x=3

4 0

3 years ago

Y= -27(x+4)³+1 the real zero(s) is (are)

rjkz [21]

$\bf y=-27(x+4)^3+1\implies 0=-27(x+4)^3+1
\\\\\\
-1=-27(x+4)^3\implies \cfrac{-1}{-27}=(x+4)^3\implies \cfrac{1}{27}=(x+4)^3
\\\\\\
\sqrt[3]{\cfrac{1}{27}}=x+4\implies \cfrac{\sqrt[3]{1}}{\sqrt[3]{27}}=x+4\implies \cfrac{1}{3}=x+4\implies \cfrac{1}{3}-4=x
\\\\\\
-\cfrac{11}{3}=x$

4 0

2 years ago

What is the yintercept of f(x) =(1/2)^x<br> ?

Anestetic [448]

$\text{Find the y-intercept:}\\\\\text{To fidn the y-intercept, we would have to plug in 0 to x. Since the y-intercept}\\\text{exists whenever x is equal to 0}\\\\\text{Solve:}\\\\f(x)=(\frac{1}{2})^0\\\\\text{We know that whenever the exponent is 0, it equals to 1}\\\\f(x)=1\\\\\text{Therefore, this makes the y-intercept 1.}\\\\\text{Answer is stated as a point on the graph}\\\\\boxed{(0,1)}$

4 0

2 years ago

In 2010, there were 311 middle schools in Virginia. In 2016, there were 306. By what percent did the number of middle schools in

Nataly_w [17]

Answer:1.6%

Step-by-step explanation: no of students in 2010=311

no of students in 2016=306

difference=311-306

%decrease=5/311 x 100

3 0

2 years ago

-----100PTS-----PLZ HURRY 1-The letters from the word FOOTBALL are written on 8 cards with one letter on each card. One card wil

SCORPION-xisa [38]

10/13 gbbhabvwjwhw cub wbqhwnnegegehqjq

6 0

2 years ago