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jenyasd209 [6]
3 years ago
13

on january 7 joelle opened a savings account with $900.it earned 2.1% interest,compounded daily.on january 8she deposited her fi

rst paycheck of $76.22.what was her balance at the end of the day in january 8?
Mathematics
1 answer:
larisa [96]3 years ago
3 0
Compute the ending balance of the opening balance for the first day then add deposited amount after that compute the balance
The formula is
A=p (1+r/k)^kt
A future value
P present value
R interest rate
K compounded daily 365
T time in days x/365

To sum up kt =365×(1/365)=1 day
A=900×(1+0.021÷365)^(1)
A=900.0517808219... the balance before the amount deposited is added

Now add the amount deposited
900.0517808219+76.22
=976.2717808219

Calculate the balance using the same formula
A=976.2717808219×(1+0.021÷365)^(1)
A=976.33. ..answer

Hope it helps!
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Below

Step-by-step explanation:

First we combine your first set of terms,

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There's a subtraction hidden in there!

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4 0
3 years ago
I have 47 nickels and dimes worth $4.20. How many of each type of coin do I have?
soldi70 [24.7K]

Answer:

37 dimes and 10 nickels

Step-by-step explanation:

let d = # dimes

let n = # nickels

we can set up a system of equations:

n + d = 47

.05n + .10d = 4.2

if we solve the first equation for 'n' we get:  

n = 47-d

now we can substitute this in for 'n' in the second equation:

.05(47-d) + .10d = 4.2

2.35 - .05d + .10d = 4.2

2.35 + .05d = 4.2

subtract 2.35 from each side to get:

.05d = 1.85

d = 1.85÷.05

d = 37

if d+n = 47 and d=37 then n = 10

Check:

.05(10) + .1(37) should equal 4.2

.50 + 3.7 = 4.2  [It Checks Out]

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