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2 years ago

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Mathematics

1 answer:

Mumz [18]2 years ago

6 0

Answer: $4,365.10

Step-by-step explanation:

Ok, we know that:

The account starts with $2350

There is a simple interest of 3.75% (or 0.035).

Then after one year, the amount in the account will increase by 3.75%, this means that the amount will be:

$2350 + 0.035*$2350 = (1.035)*$2350.

After another year, we have the same increase (but applied to the new amount in the account):

(1.035)*$2350 + 0.035*(1.035)*$2350. = (1.035)^2*$2350

And so on.

You already can see the pattern here, the amount of money in the saving account after N years will be:

M(N) = $2350*(1.035)^N.

Now we can answer:

what is the balance of the account if it earns a simple interest of 3.75% for 18 years?

Just replace N by 18 in that equation:

M(18) = $2350*(1.035)^18 = $4,365.10

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The pay, P, at a certain job is calculated by the formula P=Bh, where b is the base pay and h is the number of hours worked. if

Alexxx [7]

If you would like to know the Tom's pay for the week, you can calculate this using the following steps:

P = B * h
P ... the pay
B ... the base pay
h ... the number of hours worked

B = $6.35
h = 28 hours
P = B * h = $6.35 * 28 hours = $177.8

<span>Tom's pay for the week would be $177.8.</span>

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3 years ago

Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans

Valentin [98]

Answer:

1. $2r+1.6b=10$

2. $r=5-0.8b$

3. $b=6.25-1.25r$

Step-by-step explanation:

<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />

1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:

$2r$

The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:

$1.6b$

Knowing that she spends $10, you can write the following equation:

$2r+1.6b=10$

2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":

$2r+1.6b=10\\\\2r=10-1.6b\\\\r=\frac{10-1.6b}{2} \\\\r=5-0.8b$

3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:

$2r+1.6b=10\\\\1.6b=10-2r\\\\b=\frac{10-2r}{1.6}\\\\b=6.25-1.25r$

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2 years ago

Unit 1 Test

Liula [17]

The other end point is 0,4

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2 years ago

In parallelogram abcd, ab=14, bc=20, m(angle)b=54. Find to the nearest tenth the length of diagonal bd, and find measure angle d

muminat

It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20

Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit

Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76°

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2 years ago

20 POINTS!!!

ZanzabumX [31]

It’s 00.9

Step-by-step explanation: I just took the test I know

3 0

2 years ago

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