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Naddik [55]
3 years ago
13

Samuel deposits $1,800 in an account that earns 12% simple annual interest. How many months will it take for Samuel's account ba

lance to reach $2,448?
Use the simple interest formula I = prt, where I = Interest, p = Principal or amount borrowed, r = Rate, and t = Time (in years).
Mathematics
1 answer:
Artemon [7]3 years ago
6 0
In order to use the simple interest formula, we first define the variables. The interest would be equal to Samuel's desired amount $ 2,488 minus the principal amount of $ 1,800 which is then equal to $ 688. The rate must be in decimal form which is equal to 0.12 while t is expressed in years. Substituting the values, t is equal to 3. Thus, it will take 36 <span>months for Samuel's account balance to reach $2,448. </span>
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Why is 4 4/10 greater than 32/10?
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Because

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Please help!! I don’t get it
Marrrta [24]

Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting x represent the number of hot dogs and y the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

6x + 4y = 14.10

The Farley family bought 3 hot dogs and 4 juices for $9.15.

3x + 4y = 9.15

Now, we subtract these equations.

6x + 4y = 14.10\\- (3x + 4y = 9.15)

Since y has reversed coefficients, it gets eliminated. Now solve for x.

6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}

\frac{4.95}{3} = 1.65

x = 1.65

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

6x + 4y = 14.10

6(1.65) + 4y = 14.10

9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2

\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05

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y = 1.05

x represents hotdogs and y represents juice drinks.

Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.

<em> I hope this helps! :)</em>

6 0
3 years ago
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