answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vadim26 [7]
1 year ago
15

Sandy put $1000 in a savings account which pays 3% interest per year. After four years how much money will

Mathematics
2 answers:
Lemur [1.5K]1 year ago
3 0

Step-by-step explanation:

Here the deposited amount is considered as 'P'

The rate of interest is 'R'

The time is 'T'

P=$ 1000

R= 3%

T= 4 years

The simple interest can be calculated by,

Interest = (P x R x T) / 100

= ( 1000 x 3 x 4 ) / 100

= ( 12000) / 100

= $120

The simple interest for 4 years is $120

Total amount= P + Interest

= 1000 + 120

= $1120

So after 4 years the account will have $1120 .

Savatey [412]1 year ago
3 0

after 4 years Sandy will have $1464.1

<u>Step-by-step explanation:</u>

Here we have , Sandy put $1000 in a savings account which pays 3% interest per year. We need to find After four years how much money will  be in the account assuming no additional deposits or withdrawals. Let's find out:

Sandy put $1000 in savings account and it pays 3% interest per year , So

Amount after 1 year :

⇒ 1000 + \frac{1000(10)}{100} = 1000+100=1100

Amount after 2 year :

⇒ 1100 + \frac{1100(10)}{100} = 1100+110=1210

Amount after 3 year :

⇒ 1210 + \frac{1210(10)}{100} = 1210+121=1331

Amount after 4 year :

⇒ 1331+ \frac{1331(10)}{100} = 1331+133.1=1464.1

Therefore , after 4 years Sandy will have $1464.1

You might be interested in
Drag each tile to the correct box. Not all tiles will be used.
Zina [86]

Answer:

$1,100 at 3.2% for 3 years -> $105.60

$990 at 3.15% for 4 years  -> $124.74

$1,025 at 2.8% for 5 years​ -> $143.5

Step-by-step explanation:

Simple interest formula is:

A = P*(1 + r*t)

where A if final account, P is principal, r is annual interest rate (as decimal) and t is time in years

Interest earned is A - P, then:

I = P*(1 + r*t) - P = P(1 + r*t - 1) = P*r*t

If P = $1100, r = 0.032 and t = 3, then:

I = 1100*0.032*3 = $105.6

If P = $990, r = 0.0315 and t = 4, then:

I = 990*0.0315*4 = $124.74

If P = $1025, r = 0.028 and t = 5, then:

I = 1025*0.028*5 = $143.5

5 0
2 years ago
The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Fin
Free_Kalibri [48]

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.03

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 8.01}{0.06})=0.03  

= 1 -P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.03  

=P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.97  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = 1.881\\\\x = 8.12  

Thus, 8.17 g separates the top 3% of the weights.

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 8.01}{0.06})=0.03  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = -1.881\\\\x = 7.90  

Thus, 7.90 separates the bottom 3% of the weights.

Thus, the correct answer is

Option D) 7.90 g and 8.12 g

7 0
2 years ago
What is the slope of a line perpendicular to the line whose equation is 2x+8y -64 Fully reduce your answer.
Lelechka [254]

Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!

Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8

6 0
2 years ago
In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?
FrozenT [24]
Quadratic equation: ax² + bx + c =0

x' = [-b+√(b²-4ac)]/2a   and x" =  [-b-√(b²-4ac)]/2a  

6 = x² – 10x ; x² - 10x -6 =0
(a=1, b= - 10 and c = - 6

x' = [10+√(10²+4(1)(-6)]/2(1)  and x" = [10-√(10²+4(1)(-6)]/2(1)
x' =5+√31  and x' = 5-√31
7 0
1 year ago
Read 2 more answers
Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break duri
katrin [286]
For this case we have the following equation:
 d (t) = 12t + 20&#10;
 The variables are:
 t: time in hours
 d (t): distance traveled in miles.
 We evaluate the distance traveled after 4 hours.
 So we have that for t = 4:
 d (4) = 12 (4) +20&#10;&#10;d (4) = 48 + 20&#10;&#10;d (4) = 68
 Answer:
 
d (4) = 68
 
This means that after 4 hours Joanna cycled for 68 miles total
6 0
2 years ago
Read 2 more answers
Other questions:
  • Adam and his dad share the cost of the meal in the ratio of 2:3. Adam’s dad pays £52.20. What is the total cost of the meal
    15·1 answer
  • Can the sum of two mixed numbers be equal to two
    6·1 answer
  • How many solutions does the equation −3y + 3y + 4 = 4 have?
    14·2 answers
  • In the diagram, the measurements that are labeled are known, while the other measurements are unknown. Which measurement of acut
    8·1 answer
  • a bike shop rents bikes with Heights ranging from 18 in to 26 inches. The shop says that the height of the bike should be about
    8·1 answer
  • Larry has 7 more dimes than nickels, for a total value of $1.45. If n represents the number of nickels, which
    12·1 answer
  • Mr. Roper has eight teams of students in his debate class. Their grades on the last debate assignment are denoted by the set (99
    12·1 answer
  • A store sells three varieties of cheese cheddar, Gouda, and Swiss. Each variety of cheese is available in two different styles s
    15·1 answer
  • A child has a bottle full of pennies, nickels,dimes and quarters. There are twice as many quarters as pennies, four times as man
    11·1 answer
  • Mr. Velasquez built a playground. It has one section with a slide and another section with a swing set. A pathway connects the t
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!