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4 years ago

What is the standard form of -5a(7) + 4a(2)

Mathematics

1 answer:

Bas_tet [7]4 years ago

8 0

$-5a(7) + 4a(2) \\ \\ -35a + 4a \times 2 \\ \\ -35a + 8a \\ \\ -27a \\ \\ Answer: \fbox {-27a}$

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Toby buys a new MP3 player for a price of $45.50. What is the total amount his credit card is

Fittoniya [83]

Answer:

$48.69

Step-by-step explanation:

45.50 + (45.50 * 0.07) = 48.69

hope this helps!

5 0

3 years ago

Using the Pythagorean theorem, if the hypotenuse is 17 feet long, and side a is 15 feet long. What is the missing length of side

Shtirlitz [24]

Answer:

The missing side is 8 ft long

Step-by-step explanation:

According to Pythagoras theorem <em> "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"</em>

mathematically it is stated as

$c^2= a^2+b^2\\\\c=\sqrt{a^2+b^2}$

Given that

c, hypotenuse= 17 ft

a = 15 ft

b= ?

Applying the Pythagoras theorem formula by inserting our given parameters and solving for b we have

$17^2= 15^2+b^2$

Making b subject of formula we have

$b^2= 17^2-15^2\\\\b^2= 289-225\\\\b^2= 64\\\\$

Square root both sides we have

$b= \sqrt{64} \\\\b= 8$

Hence the missing side is 8 ft long

5 0

3 years ago

Write an inequality for the value of x, fill in the first blank with ( ) and the second blank with a number (integer or decimal)

miskamm [114]

Answer:

3x+2=17

Step-by-step explanation:

3 0

3 years ago

john invested $2000 that earn interest at 4% per annum compounded monthly. two year later the interest rate is 4.50% compounded

Ksju [112]

Answer:

$\$2,369.11$

Step-by-step explanation:

we know that

The compound interest formula is equal to

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

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

Part 1)

$t=2\ years\\ P=\$2,000\\ r=0.04\\n=12$

substitute in the formula above

$A=2,000(1+\frac{0.04}{12})^{12*2}$

$A=2,000(1.0033)^{24}$

$A=\$2,166.29$

Part 2)

$t=2\ years\\ P=\$2,166.29\\ r=0.045\\n=4$

substitute in the formula above

$A=2,166.29(1+\frac{0.045}{4})^{4*2}$

$A=2,166.29(1.01125)^{8}$

$A=\$2,369.11$

5 0

3 years ago

75 pins of juice in 5 containers find the rate and unit rate

Eva8 [605]

Answer: 15 juice pins per container

75 Juice pins ÷ 5

5 Containers ÷ 5

15 Juice pins

1 Container

15 Juice pins

1 Container

= 15 Juice pins per Container

4 0

3 years ago