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Rufina [12.5K]
3 years ago
6

Shanelle invested $10,000, and at the end of 1 year, she received $805 in interest. She invested part of the money in an account

earning 10% simple interest and the remaining money in an account earning 7% simple interest. How much did she invest in each account?
Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0
10$ because i worked it out and valedictorian in my math class so listen to me yeah
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Consider the characteristics of the center, shape, spread, and any unusual features. Which statement correctly describes the dat
saul85 [17]

Answer: b

Step-by-step explanation:

6 0
3 years ago
True or false and why: if a and b are irrational, then a^b is irrational
FrozenT [24]

False


b could be the logarithm of a rational number to the base a. For example,

b=\log_\pi{(4)}   will be irrational, but π^b = 4, a rational number

7 0
3 years ago
Work out the value of a and b in the identity.<br> 3ax + 6 - 4(x + b)= 11x + 14
Levart [38]

Answer:

a=5, b=-2

Step-by-step explanation:

If you simplify the equation, you get:

3ax +6 -4x -4b - 11x - 14 = 0 =>

3ax - 15x -4b -8 = 0

group together x's and constants:

(3a-15)x -8 -4b = 0

To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2

5 0
3 years ago
Select the angle that correctly completes the law of cosines for this triangle. 72 + 252 – 2(7)(25)cos ___ = 242 A. 180° B. 90°
meriva

Answer:

x =76.45 degrees

Step-by-step explanation:

72 + 252 – 2(7)(25)cos _x__=242

combine like terms

324-350cosx = 242

subtract 324 from each side

-350x = -82

divide by -350

cos x = -82/-350

cos x = 82/350

take the arccos of each side

arccos (cos x) = arccos (82/350)

x =76.45 degrees


7 0
3 years ago
HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!
tiny-mole [99]

Answer:

x=32°

Step-by-step explanation:

The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).

Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.

\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}

\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}

One can shorten the equation so it only holds the parts that will play a role in solving this equation,

\frac{sin(x)}{10}=\frac{sin(116)}{17}

Now take the cross product in this equation to simplify it further,

\frac{sin(x)}{10}=\frac{sin(116)}{17}

17(sin(x))=10(sin(116))

Inverse operations, solve this equation for (x),

17(sin(x))=10(sin(116))

sin(x)=\frac{10(sin(116))}{17}

x=sin^-^1(\frac{10(sin(116))}{17})

x=31.91782...

x\approx32

4 0
3 years ago
Read 2 more answers
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