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Fofino [41]
3 years ago
8

Bianca deposits $3,000 in a savings acct earning 4.25% simple interest per year.

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Answer:

$637.50

Step-by-step explanation:

P = $3000

t= 5years

r = 4.25% per annum

Interest = (p×r×t)/100

= (3000×4.25×5)/100

= $637.50

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Exponential growth/decay problem 1
RUDIKE [14]

Answer:

a) growth

b) $500

c) 6% = 0.06

d) f(x)=500(1.06)^x

e) $595.51

Step-by-step explanation:

<u />

<u>Part (a)</u>

Exponential GROWTH, since interest is applied to the account each year.

<u>Part (b)</u>

Initial amount = $500

<u>Part (c)</u>

Growth factor = 6% = 0.06 (in decimal form)

<u>Part (d)</u>

General form of exponential growth function:

f(x)=a(1+r)^x

where:

  • a = initial amount
  • r = rate of growth (in decimal form)
  • x = time (in years)

Given:

  • a = 500
  • r = 0.06

\implies f(x)=500(1+0.06)^x

\implies f(x)=500(1.06)^x

<u>Part (e)</u>

when x = 3

\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}

5 0
2 years ago
How many inches are in 35 feet?
soldier1979 [14.2K]

Answer:

420 inches

Step-by-step explanation:

There are twleve inches in one foot.

(35) (12) = 420

4 0
4 years ago
Read 2 more answers
What is the formula for the circumference of a circle using the radius?
marta [7]
We know that:
C=πd Were π(pi)=3,14... and d=diameter
We know that the radious is 2d, so we aply this to the formula and we get that:
C=2πr
4 0
4 years ago
The length of a rectangle is 16 feet more than three times the width. The perimeter of the rectangle is 248 feet. Find the dimen
sattari [20]

Answer:

L = 97, w = 27

Step-by-step explanation:

The perimeter formula is P = 2L + 2w.  We have too many unknowns simply to plug in, so we have to find a way to identify one in terms of the other.  The statement is that the length is 16 feet more than 3 times the width, so the length is in terms of the width and can be identified as

L = 3w + 16

and the width, then, is just w.  Now we can fill in those 2 values, both in terms of w, and set it to equal the perimeter value we were given of 248:

2(3w + 16) + 2w = 248 and

6w + 32 + 2w = 248 and

8w + 32 = 248 and

8w = 216 so

w = 27

That means that the width is 27.  Use that value of w now to find the length where

L = 3w + 16.

L = 3(27) + 16 and

L = 97

6 0
3 years ago
At a carnival, Ann sold 314 bottles of drinks a day. She sold 66 bottles more in the afternoon then in the morning. How many bot
Paladinen [302]

Answer:

Ann sold 124 bottles of drinks in the morning

Step-by-step explanation:

Let

x ---> bottles sold in the afternoon

y ---> bottles sold in the morning

we know that

Ann sold 314 bottles of drinks a day

so

x+y=314 -----> equation A

She sold 66 bottles more in the afternoon than in the morning

so

x=y+66 ----> equation B

substitute equation B in equation A

y+66+y=314

solve for y

2y=314-66\\2y=248\\y=124

therefore

Ann sold 124 bottles of drinks in the morning

8 0
3 years ago
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