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ArbitrLikvidat [17]
3 years ago
11

Precalculus

Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:

$24.35

Step-by-step explanation:

We will use the compound interest formula provided to solve this problem:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 1% into a decimal:

1% -> \frac{1}{100} -> 0.01

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=800(1+\frac{0.01}{12})^{12(3)}

A=824.35

Lastly, subtract <em>A </em>from the principal to get the interest earned:

824.35 - 800 = 24.35

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2 years ago
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Use the formula to find the length of the base next to the goal given that the height of the trapezoid is 11ft and the base fart
Liono4ka [1.6K]

Answer:

b1 = 22 ft

the length of the base next to the goal is 22 ft

Step-by-step explanation:

From the given formula;

Area A = 1/2×(b1 + b2)h ........1

Given;

Area A = 275ft^2

base b2 = 28 ft

base b1 = ?

height h = 11 ft

From equation 1;

Making b1 rhe subject of formula;

A = 1/2×(b1 + b2)h

Multiply through by 2;

2A = (b1+b2)h

b1+b2 = 2A/h

b1 = 2A/h - b2 ...... 2

Substituting the given values into equation 2;

b1 = 2(275)/11 - 28

b1 = 50 - 28

b1 = 22 ft

the length of the base next to the goal is 22 ft

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=r%5E%7B7%2F8%7D%20%2Ar%5E%7B2%2F3%7D" id="TexFormula1" title="r^{7/8} *r^{2/3}" alt="r^{7/8} *
aksik [14]

Step-by-step explanation:

{r}^{ \frac{7}{8}  +  \frac{2}{3} }

{r}^{ \frac{21 + 16}{24} }

{r}^{ \frac{37}{24} }

Hope it helps:)

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Plz help me i dont understand
wolverine [178]

your answer is 52. just subtract: 72-20=52

6 0
3 years ago
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mary is making a batch of chocolate chip cookies the recipe calls for 9 cups of flour and 2 4/7 cups of sugar she isshort on flo
Harman [31]

Mary added $24 \frac{1}{2} cups of sugar.

<h3>How to estimate how much sugar should Mary add?</h3>

The ratio of flour to sugar exists at 9 cups: 2 4/7 cups

Utilizing equivalent ratios, given that 7 cups of sugar was utilized,

Let cups of flour needed = x such that our equation becomes

flour/sugar$ =\frac{9}{2\frac{4}{7} }=\frac{x}{7}  

$ \frac{9}{2\frac{4}{7} }=\frac{x}{7}

Convert mixed numbers into improper fractions

$2 \frac{4}{7}= \frac{18}{7}

simplifying the above equation, we get

$\frac{9}{\frac{18}{7} } = \frac{x}{7}

= $24 \frac{1}{2}

x = 24.5

The value of x = 24.5.

Therefore, $24 \frac{1}{2} cups of sugar exist required.

To learn more about improper fractions refer to:

brainly.com/question/387381

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