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Vadim26 [7]
2 years 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]2 years 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]2 years 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

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Answer:

850

Step-by-step explanation:

700% is the same as x 7.

The opposite is to divide.

5950 / 7 = 850

6 0
2 years ago
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Alex777 [14]

Answer:

48^-1

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s
Norma-Jean [14]

The positions when the particle reverses direction are:

s(t_1)=55ft\\\\s(t_2)=28ft

The acceleraton of the paticle when reverses direction is:

a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

s(t)=2t^{3}-21t^{2}+60t+3

So,

- Derivating to get the velocity function, we have:

v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42

Now, substituting the times to calculate the accelerations, we have:

a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}

Now, substitutitng the times to calculate the positions, we have:

s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft

Have a nice day!

3 0
3 years ago
Let x represent the number of cars produced in a factory in a typical week. The company is planning to manufacture cars. The fix
irga5000 [103]

Answer:

$59,000

Step-by-step explanation:

doing $15,000 + $55,000 and you will get $59,000 you know I know how I know because you at you at and then you subtract $1,000 getting on my last nerve and you would get $59,000

6 0
2 years ago
Danny earns a monthly allowance of twenty dollars and extra seventy five cents every time he is nice to his mom. Avery earns a m
Lerok [7]

Answer:

Danny: y-=.75x+20

Avery: y=1.25x+18

Step-by-step explanation:

To write a system of equations, it usually equals y=mx+b. Since Danny and Avery both earn the set monthly allowance of 20 and 18 dollars respectively, those numbers go on the variable b since it's a set amount and they start off with that amount of money if they weren't nice to their mom at all.

Since we are trying to find the overall amount of money, let y=total money a child earns every month and x=how many times the child is nice to their mother.

The extra .75 cents Danny earns go under the variable m because it is dependent on how many times he is nice to his mom. Along with Avery.

4 0
2 years ago
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