Caleb is going to invest in an account paying an interest rate of 6% compounded daily. How much would Caleb need to invest, to the nearest cent, for the value of the account to reach $1,900 in 5 years?

$36

Step-by-step explanation:

A = p(1 + r/n)^nt

Nathan

P = $380

r = 5 7/8% = 47/8% = 0.05875

n = 12

t = 12

A = p(1 + r/n)^nt

= 380(1 + 0.05875/12)^12*12

= 380(1 + 0.0049)^144

= 380(1.0049)^144

= 380(2.0216)

= $768.208

Caleb

P = $380

r = 6 1/4% = 25/4%

n = 365

t = 12

A = p(1 + r/n)^nt

= 380(1 + 0.0625/365)^365*12

= 380 (1 + 0.0001712)^4380

= 380(1.0001712)^4380

= 380(2.1166)

= $804.308

Difference

$804.308 - $768.208

= $36.1

To the nearest dollar

= $36

$36

Step-by-step explanation:

A = p(1 + r/n)^nt

Nathan

P = $380

r = 5 7/8% = 47/8% = 0.05875

n = 12

t = 12

A = p(1 + r/n)^nt

= 380(1 + 0.05875/12)^12*12

= 380(1 + 0.0049)^144

= 380(1.0049)^144

= 380(2.0216)

= $768.208

Caleb

P = $380

r = 6 1/4% = 25/4%

n = 365

t = 12

A = p(1 + r/n)^nt

= 380(1 + 0.0625/365)^365*12

= 380 (1 + 0.0001712)^4380

= 380(1.0001712)^4380

= 380(2.1166)

= $804.308

Difference

$804.308 - $768.208

= $36.1

To the nearest dollar

= $36

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The answer is in the image 

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The answer is in the image