Partners Q, X, and Y share net income and losses in a 5:3:2 ratio, respectively. The capital account balances on April 30, Year 5 are as follows:

W, capital $37,000

X, capital 65,000

Y, capital 48,000

Total partners capital $150,000

The assets and liabilities of the partnership are recorded at their fair values. Z is to be admitted to the partnership with a 20% capital interest and a 20% share of net income and losses in exchange for a cash investment. No goodwill or bonus is to be recorded. The amount the Partner Z should invest in the partnership is how much?