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Vika [28.1K]
2 years ago
5

Alice and Shivani went to lunch at a cafe. They ordered a spinach salad for $5.75, a tuna sandwich for $7.20, and 2 glasses of l

emonade for $1.30 each. The tax was $1.55. They gave the waiter $20.00. How much change should they have received?
Mathematics
1 answer:
Vikki [24]2 years ago
3 0

Answer:

$2.90

Step-by-step explanation:

Spinach    $5.75

Tuna         $7.20

2 lemonades    $2.60

tax =  $1.55

Sum = $17.10

Change = $20.00 - $17.10 = $2.90

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For the following amount at the given interest rate compounded​ continuously, find​ (a) the future value after 9 ​years, (b) the
Stella [2.4K]

Answer:

(a) The future value after 9 ​years is $7142.49.

(b) The effective rate is r_E=4.759 \:{\%}.

(c) The time to reach ​$13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of P dollars is invested at a rate of interest r compounded continuously for t years, the compound amount is

A=Pe^{rt}

(a) From the information given

P=4700

r=4.65\%=\frac{4.65}{100} =0.0465

t=9 \:years

Applying the above formula we get that

A=4700e^{0.0465\cdot 9}\\A=7142.49

The future value after 9 ​years is $7142.49.

(b) The effective rate is given by

r_E=e^r-1

Therefore,

r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}

(c) To find the time to reach ​$13,000, we must solve the equation

13000=4700e^{0.0465\cdot t}

4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88

3 0
3 years ago
All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hou
Sholpan [36]
Five and a half hours
5 0
2 years ago
Is y = |x + 3| a linear function yes or noO
vekshin1

Answer:

Yes

Step-by-step explanation:

Because it passes vertical line test.

4 0
3 years ago
Read 2 more answers
Giving all my points
Dominik [7]
The answer is $2.50 because you do 145-132.50=12.5
Then you divide by 5 because that’s the difference between students then the final answer is 2.50
4 0
3 years ago
For a sequence defined by f(1)=13 and 2f(n-1)+(n-2), which of the following is the value of f(4)
densk [106]
Given that:
f(1)=13 and 2f(n-1)+(n-2)
then:
f(4) will be found as follows:
f(2)=2f(2-1)=2f(1)=2*13=26
f(3)=2f(3-1)+(3-2)=2f(2)+1=2*26+1=53
f(4)=2f(4-1)+(4-2)=2f(3)+(4-2)=2(53)+2=108

Thus:
Answer:(3) 108

6 0
3 years ago
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